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

Use The angle given that exceeds the limit

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

Make sure y is alone with the sine

What must the new angle found from the followed angle be

Follow the restrictions of the trig

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

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

Find the restriction of the domain of the inner function.

Find the entire triangle to than find sine ratio

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

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

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

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

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

There is no except, keep using them numbers!

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

Host a virtual celebration event.

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Post a meme about it on social media.

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

Quizizz AI is better at generating diverse and adaptive questions.

Quizizz AI cannot adapt to different learning styles.

Human-made questions are always more accurate.

Quizizz AI only repeats existing questions.

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

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

There are only two solutions for trig functions without limits.

Trigonometric functions have a finite number of solutions.

All trig functions have a unique solution without limits.

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

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

k is a variable and Z represents a constant.

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

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

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?

Only specific solutions can be found.

The period does not affect the solutions.

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?

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

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

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

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

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?

Find the angle first, then subtract.

Subtract the angle from the degree first.

Find the angle and add instead of subtracting.

Subtract first, then find the angle.

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?

Yes, you can replace trig functions with a variable.

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

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

No, you cannot replace trig functions with a variable.

True or False: Most Trigonometric Equations have unique solutions

All trigonometric equations have no solutions

Most trigonometric equations have multiple solutions

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

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

What is a Identity in math?

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

An identity is a type of mathematical function.

An identity is a variable that changes value.

An identity is a unique number in a set.

What is the difference between conditional and identities in math?

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

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

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

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

What are the two quotient identities?

tan(θ) = sin(θ) / cos(θ) and cot(θ) = cos(θ) / sin(θ)

What do all six reciprocal identities have in common?

They express the relationship between trigonometric functions and their reciprocals.

They are only relevant in calculus.

They are used to calculate angles in geometry.

They only apply to sine and cosine functions.

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

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

Sine and cosecant are the same function.

Cosecant is the derivative of sine.

Sine is the reciprocal of tangent.

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.

It doesn't matter which side to focus on

Always start with the simpler side

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

Trigonometric identities can be transformed using fundamental identities.

Transformations are only possible with calculus.

Trigonometric identities cannot be changed.

Only advanced identities can be transformed.

Which Pythagorean Identity is equal to one? Use words

Sine squared plus cosine squared equals one.

Tangent squared plus cosine squared equals one.

Sine squared minus cosine squared equals one.

Sine squared plus tangent squared equals one.

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

One plus cotangent squared of theta

One minus sine squared of theta

Two minus tangent squared of theta

Addition/Subtraction Trig Identities are used to find exact values

Addition/Subtraction Trig Identities help in calculating exact values of trigonometric functions.

Addition/Subtraction Trig Identities are primarily for graphing functions.

Addition/Subtraction Trig Identities are used for solving linear equations.

Addition/Subtraction Trig Identities are only applicable to angles in degrees.

If you have addition/subtraction trig identity that exceeds 90 degrees, you must use the reference angle of the new quadrant and the sign of the quadrant for the trig function

Use the reference angle and the sign of the quadrant for the trig function.

Use the original angle without adjustment.

Ignore the quadrant and use the angle directly.

Always use a positive value for the trig function.

You can multiply a fraction in the denominator and numerator with any value if they are the same

Only if the value is greater than one

Unit 5 – Trig Functions - Radian - Vocab

Authored by Leonel Roman Avalos

Mathematics

12th Grade

CCSS covered

Used 45+ times

Unit 5 – Trig Functions - Radian - Vocab

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MULTIPLE SELECT QUESTION

45 sec • 1 pt

We start things with a....

BANG

Tags

CCSS.L.4.5B

CCSS.L.5.5B

MULTIPLE CHOICE QUESTION

$x=\sin y\$

$y=\sin x\$

Tags

CCSS.HSF-BF.B.4A

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

$0\le x\le\pi$

$-1\le x\le1$

Tags

CCSS.HSF-BF.B.4D

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Unit 5 – Trig Functions - Radian - Vocab

We start things with a....

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

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

What is the domain of a restricted sine?

What is the range of restricted sine?

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

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

How should y=sin⁡−1xy=\sin^{-1}xy=sin−1x be also written

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

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

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

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

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