Inverse Trig Review #1

Inverse Trig Review #1

10th - 12th Grade

15 Qs

quiz-placeholder

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Inverse Trig Review #1

Inverse Trig Review #1

Assessment

Quiz

Other

10th - 12th Grade

Medium

Created by

Nicole Andriano

Used 9+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is the graph of  sin1x\sin^{-1}x  ?

Media Image
Media Image
Media Image
Media Image

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the range of  cos1x\cos^{-1}x  ?

 (,)\left(-\infty,\infty\right)  

 π2xπ2-\frac{\pi}{2}\le x\le\frac{\pi}{2}  

 0xπ0\le x\le\pi  

 0x2π0\le x\le2\pi  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity allows for this statement to be true?
 sin(120°)=cos(30°)\sin\left(120\degree\right)=\cos\left(30\degree\right)  

Sum Identity for Sine

Pythagorean Identity

Double Angle Identity

Co-function identity

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify.

1

sin(x)\sin\left(x\right)

sec(x)\sec\left(x\right)

cos(x)\cos\left(x\right)

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Simplify.

tan2(x)\tan^2\left(x\right)

sin2(x)\sin^2\left(x\right)

csc(x)\csc\left(x\right)

sin(x)\sin\left(x\right)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of cos(2x)\cos\left(2x\right)  if  sinx=1213\sin x=-\frac{12}{13}  and in Quadrant III.

 513-\frac{5}{13}  

 1013-\frac{10}{13}  

 457169\frac{457}{169}  

 119169-\frac{119}{169}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

To determine the cos(75°)\cos\left(75\degree\right)  , you can use the cosine of a sum identity:

 cos(45°+30°)=\cos\left(45\degree+30\degree\right)=  

 cos(45°)cos(30°)+sin(45°)sin(30°)\cos\left(45\degree\right)\cos\left(30\degree\right)+\sin\left(45\degree\right)\sin\left(30\degree\right)  

 cos(45°)cos(30°)sin(45°)sin(30°)\cos\left(45\degree\right)\cos\left(30\degree\right)-\sin\left(45\degree\right)\sin\left(30\degree\right)  

 cos(45°)sin(30°)+cos(30°)(sin45°)\cos\left(45\degree\right)\sin\left(30\degree\right)+\cos\left(30\degree\right)\left(\sin45\degree\right)  

 cos(45°)sin(30°)sin(45°)cos(30°)\cos\left(45\degree\right)\sin\left(30\degree\right)-\sin\left(45\degree\right)\cos\left(30\degree\right)  

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