Search Header Logo
  1. Resource Library
  2. Math
  3. Trigonometry
  4. Double Angle Identities
  5. Double Angle And Half Angle #5

Double Angle and Half Angle #5

Authored by Taylor Ernsthausen

Mathematics

12th Grade

Used 2+ times

Double Angle and Half Angle #5
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Use a double-angle or half-angle identity to find the exact value of each expression
sin θ = −3/5 and 3π/2 < θ < 2π Find tan θ/2

-1/3
-√3
√3/3
-1

2.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Use a double-angle or half-angle identity to find the exact value of each expression

cos θ = 4/5 and 270° < θ < 360°Find sin 2θ

-1/5

24/25

-24/25

-25/24

3.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

Find the exact value of sin 2x if sin x = 12/13 and x is in the first quadrant. 

120/169
25/169
60/169
5/13

4.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Use the Half-angle formulas to find the exact value of each expression
sin 22.5º

√(2 + √3)/2
√(2 - √2)/2
√(2 + √2)/2
√(2 - √3)/2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value for cos⁡2θ\cos2\theta using the given information: sin⁡θ=1517, 0≤θ≤π2\sin\theta=\frac{15}{17},\ 0\le\theta\le\frac{\pi}{2}  

−161289-\frac{161}{289}  

240161\frac{240}{161}  

−240289-\frac{240}{289}  

−289161-\frac{289}{161}  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value for tan⁡2θ\tan2\theta  using the given information: sin⁡θ=45,π2≤θ≤π\sin\theta=\frac{4}{5},\frac{\pi}{2}\le\theta\le\pi  

247\frac{24}{7}  

−724-\frac{7}{24}  

−2425-\frac{24}{25}  

−725-\frac{7}{25}  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the exact value for sin⁡75°\sin75\degree  .

2−32\frac{\sqrt[]{2-\sqrt[]{3}}}{2}  

−2+32-\frac{\sqrt[]{2+\sqrt[]{3}}}{2}  

2−32-\sqrt[]{3}  

2+32\frac{\sqrt[]{2+\sqrt[]{3}}}{2}  

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?