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Find missing angle of RT Triangle QUIZ

Total questions: 12

Worksheet time: 2hrs 33mins

Name
Class
Date
1.

What is the trig equation SET UP to solve for the missing angle?

a)

tan⁡θ=3713\tan\theta=\frac{37}{13}

b)

sin⁡θ=3713\sin\theta=\frac{37}{13}

c)

tan⁡θ=1337\tan\theta=\frac{13}{37}

d)

sin⁡θ=1337\sin\theta=\frac{13}{37}

2.

Use the INVERSE function to solve for the missing angle measurement.

a)

 tan⁡−1(3713)=71°\tan^{-1}\left(\frac{37}{13}\right)=71\degree 

b)

 sin⁡−1(3713)=undefined\sin^{-1}\left(\frac{37}{13}\right)=undefined 

c)

 sin⁡−1(1337)=21°\sin^{-1}\left(\frac{13}{37}\right)=21\degree 

d)

 tan⁡−1(1337)=19°\tan^{-1}\left(\frac{13}{37}\right)=19\degree 

3.

What is the trig equation SET UP to solve for the missing angle?

a)

sin⁡x=6275\sin x=\frac{62}{75}

b)

cos⁡x=6275\cos x=\frac{62}{75}

c)

sin⁡x=7562\sin x=\frac{75}{62}

d)

cos⁡x=7562\cos x=\frac{75}{62}

4.

Use the INVERSE function to solve for the missing angle measurement.

a)

 sin⁡−1(6275)=56°\sin^{-1}\left(\frac{62}{75}\right)=56\degree 

b)

 cos⁡−1(6275)=34°\cos^{-1}\left(\frac{62}{75}\right)=34\degree 

c)

 tan⁡−1(6275)=40°\tan^{-1}\left(\frac{62}{75}\right)=40\degree 

d)

 cos⁡−1(7562)=undefined\cos^{-1}\left(\frac{75}{62}\right)=undefined 

5.

What is the trig equation SET UP to solve for the missing angle?

a)

sin⁡x=1219\sin x=\frac{12}{19}

b)

cos⁡x=1219\cos x=\frac{12}{19}

c)

sin⁡x=1912\sin x=\frac{19}{12}

d)

 cos⁡x=1912\cos x=\frac{19}{12} 

6.

Use the INVERSE function to solve for the missing angle measurement.

a)

 sin⁡−1(1219)=39°\sin^{-1}\left(\frac{12}{19}\right)=39\degree 

b)

 cos⁡−1(1219)=51°\cos^{-1}\left(\frac{12}{19}\right)=51\degree 

c)

 sin⁡−1(1912)=undefined\sin^{-1}\left(\frac{19}{12}\right)=undefined 

d)

 tan⁡−1(1912)=58°\tan^{-1}\left(\frac{19}{12}\right)=58\degree 

7.

What is the trig equation SET UP to solve for the missing angle?

a)

tan⁡x=2.88.7\tan x=\frac{2.8}{8.7}

b)

sin⁡x=2.88.7\sin x=\frac{2.8}{8.7}

c)

tan⁡x=8.72.8\tan x=\frac{8.7}{2.8}

d)

sin⁡x=8.72.8\sin x=\frac{8.7}{2.8}

8.

Use the INVERSE function to solve for the missing angle measurement.

a)

 tan⁡−1(2.88.7)=18°\tan^{-1}\left(\frac{2.8}{8.7}\right)=18\degree 

b)

 sin⁡−1(2.88.7)=19°\sin^{-1}\left(\frac{2.8}{8.7}\right)=19\degree 

c)

 tan⁡−1(8.72.8)=72°\tan^{-1}\left(\frac{8.7}{2.8}\right)=72\degree 

d)

 sin⁡−1(8.72.8)=undefined\sin^{-1}\left(\frac{8.7}{2.8}\right)=undefined 

9.

What is the trig equation SET UP to solve for the missing angle?

a)

cos⁡θ=21.428.1\cos\theta=\frac{21.4}{28.1}

b)

sin⁡θ=21.428.1\sin\theta=\frac{21.4}{28.1}

c)

cos⁡θ=28.121.4\cos\theta=\frac{28.1}{21.4}

d)

sin⁡θ=28.121.4\sin\theta=\frac{28.1}{21.4}

10.

Use the INVERSE function to solve for the missing angle measurement.

a)

 cos⁡−1(21.428.1)=40°\cos^{-1}\left(\frac{21.4}{28.1}\right)=40\degree 

b)

 sin⁡−1(21.428.1)=50°\sin^{-1}\left(\frac{21.4}{28.1}\right)=50\degree 

c)

 cos⁡−1(28.121.4)=undefined\cos^{-1}\left(\frac{28.1}{21.4}\right)=undefined 

d)

 tan⁡−1(21.428.1)=37°\tan^{-1}\left(\frac{21.4}{28.1}\right)=37\degree 

11.

What is the trig equation SET UP to solve for the missing angle?

a)

cos⁡θ=3.99.4\cos\theta=\frac{3.9}{9.4}

b)

sin⁡θ=3.99.4\sin\theta=\frac{3.9}{9.4}

c)

cos⁡θ=9.43.9\cos\theta=\frac{9.4}{3.9}

d)

sin⁡θ=9.43.9\sin\theta=\frac{9.4}{3.9}

12.

Use the INVERSE function to solve for the missing angle measurement.

a)

 cos⁡−1(3.99.4)=65°\cos^{-1}\left(\frac{3.9}{9.4}\right)=65\degree 

b)

 sin⁡−1(3.99.4)=25°\sin^{-1}\left(\frac{3.9}{9.4}\right)=25\degree 

c)

 cos⁡−1(9.43.9)=undefined\cos^{-1}\left(\frac{9.4}{3.9}\right)=undefined 

d)

 tan⁡−1(3.99.4)=23°\tan^{-1}\left(\frac{3.9}{9.4}\right)=23\degree