Quiz about Unit 5 – Trig Functions - Radian - Vocab

Question 1

We start things with a....

Accepted Answer

BANG

Accepted Answer

BANG

Accepted Answer

BANG

Accepted Answer

BANG

Question 2

True or False: Regular Sine is a one to one function.

Accepted Answer

False

Answer

True

Question 3

A ---- function is a function that maps no two elements of its domain to a single value in its range

Accepted Answer

one to one

Answer

inverse

Question 4

What is the domain of a restricted sine?

Accepted Answer

$$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$$

Answer

$$\left(-1,1\right)$$

Question 5

What is the range of restricted sine?

Accepted Answer

(-1,1)

Answer

$$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$$

Question 6

$$f^{-1}\left(f\left(x\right)\right)=\sin^{-1}\left(\sin x\right)=x\ $$ than has a restriction of

Accepted Answer

$$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$$

Answer

$$-1\le x\le1$$

Question 7

$$f\left(f^{-1}\left(x\right)\right)=\sin\left(\sin^{-1}x\right)=x\ $$ has a restriction at

Accepted Answer

$$-1\le x\le1$$

Answer

$$-\frac{\pi}{2}\le x\le\frac{\pi}{2}$$

Question 8

How should $$y=\sin^{-1}x$$ be also written

Accepted Answer

$$x=\sin y\ $$

Answer

$$y=\sin x\ $$

Question 9

When finding the exact values for certain composite functions such as Sine, and it exceeds the radians, what can one do?

Accepted Answer

Use the reference angle

Answer

Use The angle given that exceeds the limit

Question 10

What is the domain of cosine that is one to one?

Accepted Answer

$$0\le x\le\pi$$

Answer

$$-1\le x\le1$$

Question 11

What is the range of cosine function?

Accepted Answer

$$-1\le x\le1$$

Answer

$$0\le x\le\pi$$

Question 12

$$f^{-1}\left(f\left(x\right)\right)=\cos^{-1}\left(\cos\left(x\right)\right)=x$$ What restriction would this have?

Accepted Answer

$$0\le x\le\pi$$

Answer

$$-1\le x\le1$$

Question 13

Cosine is

Accepted Answer

even

Answer

odd

Question 14

Sine is

Accepted Answer

even

Answer

odd

Question 15

$$f\left(f^{-1}\left(x\right)\right)=\cos\left(\cos^{-1}x\right)=x\ $$ restriction occurs

Accepted Answer

$$-1\le x\le1$$

Answer

$$0\le x\le\pi$$

Question 16

$$y= an^{-1}x$$

Accepted Answer

$$x= an y$$

Answer

$$y= an x$$

Question 17

What restriction does this have $$f^{-1}\left(f\left(x ight) ight)= an^{-1}\left( an\left(x ight) ight)=x$$

Accepted Answer

$$-\frac{\pi}{2}\le x\le\frac{\pi}{2}$$

Answer

$$-\infty\le x\le\infty$$

Question 18

What is the restriction of this $$f\left(f^{-1}\left(x ight) ight)= an\left( an^{-1}x ight)=x$$

Accepted Answer

$$-\infty\le x\le\infty$$

Answer

$$\frac{-\pi}{2}\le x\le\frac{\pi}{2}$$

Question 19

What is the first step finding inverse of a trig function

Accepted Answer

Switch X and Y

Answer

Solve For Y

Answer

Do Inverse Operations

Question 20

What is the second step to finding the inverse function of a trig function?

Accepted Answer

Make sure y is alone with the sine

Answer

Solve X and Y

Answer

Switch X and Y

Question 21

True or False: Reference angle can be negative and Positive

Accepted Answer

False

Answer

True

Question 22

What must the new angle found from the followed angle be

Accepted Answer

The same sign

Accepted Answer

Follow the restrictions of the trig

Accepted Answer

Be the same distance from the x-axis from the reference angle

Answer

Be total of 360 degrees

Question 23

$$\sin\left(x\right)\ $$ is really

Accepted Answer

y(ratio)

Answer

x(angle)

Question 24

$$\sin^{-1}\left(x\right)$$ is really

Accepted Answer

x(angle)

Answer

y(ratio)

Question 25

When asked to find the exact value of $$\sin\left( an^{-1}\left(\frac{1}{2} ight) ight)$$ what should one do?

Accepted Answer

Find the restriction of the domain of the inner function.

Accepted Answer

Find the entire triangle to than find sine ratio

Answer

Find the angle of the inside

Question 26

True or False: Follow the restriction given for the inner functions of an expression

Accepted Answer

True

Answer

False

Question 27

What is sec domain

Accepted Answer

$$0\le x\le\pi$$

Accepted Answer

x $$y e\frac{\pi}{2}$$

Answer

$$\left|x\right|\ge1$$

Question 28

Find the range of sec(x)

Accepted Answer

$$\left|y\right|\ge1$$

Answer

$$0\le y\le\pi$$

Answer

$$y e\frac{\pi}{2}$$

Question 29

The domain and range of inverse trig functions....

Accepted Answer

stay the same

Answer

switch from their inverses

Answer

only sine and cosecant switch

Question 30

What is the domain of csc(x)

Accepted Answer

$$-\frac{\pi}{2}\le x\le\frac{\pi}{2}$$

Accepted Answer

$$y
e0$$

Answer

$$0<y<\pi$$

Answer

$$0\le y\le\pi$$

Answer

$$y\ge0$$

Question 31

The range of csc(x) is also known as

Accepted Answer

$$\left|y\right|\ge1$$

Answer

$$\left|y\right|\le1$$

Question 32

What is the domain of cot(x)

Accepted Answer

$$0<x<\pi$$

Answer

$$0<x<0$$

Answer

$$0\le x\le\pi$$

Question 33

What is the range of cot(x)

Accepted Answer

$$-\infty<x<\infty$$

Answer

$$-\infty\le x<\infty$$

Answer

$$-\infty\le x\le\infty$$

Question 34

X is often known in trig functions as the

Accepted Answer

domain

Accepted Answer

the angle

Answer

ratio

Question 35

Y is often known as

Accepted Answer

ratio

Answer

angle

Question 36

True or False: Finding the inverse of secant and cotangent can both use cosine

Accepted Answer

True, Inverse of secant and cotangent share the same domain of cosine, however secant is just the reciprocal of cosine. Cotangent must give the correct sides to than evaluate with cosine

Answer

True, Inverse of Secant and Cotangent share the same domain of cosine. Both are reciprocals of cosine, therefore just flipping them will do!

Question 37

Cotangent works in which quadrants?

Accepted Answer

1

Accepted Answer

2

Answer

3

Answer

4

Question 38

Which quadrants does tangent work in?

Accepted Answer

1

Accepted Answer

4

Answer

2

Answer

3

Question 39

Cosecant works in which side?

Accepted Answer

1

Accepted Answer

4

Answer

2

Answer

3

Question 40

Secant Works In this Side

Accepted Answer

1

Accepted Answer

2

Answer

3

Answer

4

Question 41

Cosine works in this side

Accepted Answer

1

Accepted Answer

2

Answer

3

Answer

4

Question 42

Sine works in this side

Accepted Answer

1

Accepted Answer

4

Answer

2

Answer

3

Question 43

Cosecant Works in Which One?

Accepted Answer

1

Accepted Answer

4

Answer

2

Answer

3

Question 44

Writing a trigonometric Expression is the same as finding the exact value of an Inverse Cosecant Function, except....

Accepted Answer

This time we are using variables to draw out these ratios!

Answer

There is no except, keep using them numbers!

Question 45

Quizizz AI returned better and stronger! How should we celebrate?!

Accepted Answer

Host a virtual celebration event.

Answer

Ignore the achievement and move on.

Answer

Post a meme about it on social media.

Answer

Send an email to all users about the update.

Question 46

Welecome back Quizizz AI to my math learning, how are you better than human made questions and concept questions?

Accepted Answer

Quizizz AI is better at generating diverse and adaptive questions.

Answer

Quizizz AI cannot adapt to different learning styles.

Answer

Human-made questions are always more accurate.

Answer

Quizizz AI only repeats existing questions.

Question 47

There is infinite amount of solutions for trig functions if there ins't a limit

Accepted Answer

True, there are infinite solutions for trig functions without limits.

Answer

There are only two solutions for trig functions without limits.

Answer

Trigonometric functions have a finite number of solutions.

Answer

All trig functions have a unique solution without limits.

Question 48

$$k\in Z$$ What do the k the middle part and Z mean

Accepted Answer

k is an integer and Z is the set of all integers.

Answer

k is a variable and Z represents a constant.

Answer

k is a real number and Z is the set of rational numbers.

Answer

k is a decimal and Z is the set of all whole numbers.

Question 49

If there is not limit in solutions for trig function, we can "find all solutions" by making a equation that includes by adding the solution by the period times a variable representing integers, right?

Accepted Answer

Yes, that is correct.

Answer

No, that is not correct.

Answer

Only specific solutions can be found.

Answer

The period does not affect the solutions.

Question 50

When stating the solutions, you should order them how?

Accepted Answer

In ascending order

Answer

By frequency of occurrence

Answer

Random order

Answer

In descending order

Question 51

When a degree is being multiplied in a trig function, is it true that you should multiply than the interval, find the angles that fit in it, and than divide it by what you multiplied by the interval?

Accepted Answer

Yes, this method is correct for adjusting angles in trigonometric functions.

Answer

No, the method is only applicable to linear functions, not trigonometric ones.

Answer

Yes, but you should add the multiplied value to the interval instead of dividing.

Answer

No, you should only multiply the angles directly without adjusting the interval.

Question 52

When having a trig function adding or subtracted to the degree, should we first find the angle and than subtract. Or subtract and than find the angle?

Accepted Answer

Find the angle first, then subtract.

Answer

Subtract the angle from the degree first.

Answer

Find the angle and add instead of subtracting.

Answer

Subtract first, then find the angle.

Question 53

When solving a trigonometric equation and there is degrees resembling a polynomial quadratic, can you replace the trig functions with a variable to find the solutions?

Accepted Answer

Yes, you can replace trig functions with a variable.

Answer

You should always keep the trig functions in their original form.

Answer

Only if the equation is linear can you replace trig functions.

Answer

No, you cannot replace trig functions with a variable.

Question 54

True or False: Most Trigonometric Equations have unique solutions

Accepted Answer

False

Answer

True

Answer

All trigonometric equations have no solutions

Answer

Most trigonometric equations have multiple solutions

Question 55

When writing a equation statement for tan, what can you do instead of adding 2pi for both solutions?

Accepted Answer

Use x = arctan(y) + n*pi, where n is any integer.

Answer

Use x = sin(y) + n*pi

Answer

Set x = y + 90 degrees

Answer

Use x = tan(y) + 2pi

Question 56

What is a Identity in math?

Accepted Answer

An identity in math is an equation that holds true for all values of its variables.

Answer

An identity is a type of mathematical function.

Answer

An identity is a variable that changes value.

Answer

An identity is a unique number in a set.

Question 57

What is the difference between conditional and identities in math?

Accepted Answer

Conditional statements express a relationship between conditions, while identities are universally true equations.

Answer

Identities are used only in geometry, while conditional statements apply to algebra.

Answer

Conditional statements are equations that can change, while identities are fixed values.

Answer

Conditional statements are always true, while identities depend on specific conditions.

Question 58

When you have a trig function, you can ----- it!

Accepted Answer

inverse

Answer

evaluate

Answer

simplify

Answer

ignore

Question 59

What do all six reciprocal identities have in common?

Accepted Answer

They express the relationship between trigonometric functions and their reciprocals.

Answer

They are only relevant in calculus.

Answer

They are used to calculate angles in geometry.

Answer

They only apply to sine and cosine functions.

Question 60

Why is it wrong to call sine the inverse of cosecant, and back and forth, instead of reciprocal?

Accepted Answer

It is wrong to call sine the inverse of cosecant because they are reciprocals, not inverses.

Answer

Sine and cosecant are the same function.

Answer

Cosecant is the derivative of sine.

Answer

Sine is the reciprocal of tangent.

Question 61

True or False: When establishing identities, its better to only focus on one side, the one with more complexity and free way, than mix or do the simple one.

Accepted Answer

True

Answer

False

Answer

It doesn't matter which side to focus on

Answer

Always start with the simpler side

Question 62

You can transform the identities of trig into the ones one needs

Accepted Answer

Trigonometric identities can be transformed using fundamental identities.

Answer

Transformations are only possible with calculus.

Answer

Trigonometric identities cannot be changed.

Answer

Only advanced identities can be transformed.

Question 63

Which Pythagorean Identity is equal to one? Use words

Accepted Answer

Sine squared plus cosine squared equals one.

Answer

Tangent squared plus cosine squared equals one.

Answer

Sine squared minus cosine squared equals one.

Answer

Sine squared plus tangent squared equals one.

Question 64

Which Pythagorean Identity is equal to $$\csc^2 heta$$ . Use words, not symbols.

Accepted Answer

One plus cotangent squared of theta

Answer

One minus sine squared of theta

Answer

Two minus tangent squared of theta

Answer

One plus sine squared of theta

Unit 5 – Trig Functions - Radian - Vocab

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics