# Trigonometry/Identities/Quiz

1 Dividing the Pythagorean equation by which variable produces ${\displaystyle cos^{2}\theta +\sin ^{2}\theta =1}$?

 ${\displaystyle x^{2}}$ ${\displaystyle y^{2}}$ ${\displaystyle r^{2}}$

2 Dividing the Pythagorean equation by which variable produces ${\displaystyle \cos ^{2}\theta +1=\csc ^{2}\theta }$?

 ${\displaystyle x^{2}}$ ${\displaystyle y^{2}}$ ${\displaystyle r^{2}}$

3 Dividing the Pythagorean equation by which variable produces ${\displaystyle 1+\tan ^{2}\theta =\sec ^{2}\theta }$?

 ${\displaystyle x^{2}}$ ${\displaystyle y^{2}}$ ${\displaystyle r^{2}}$

4

 [itex]\cos^2\theta + \sin^2\theta =

5 [itex]\cot^2\theta + 1 =

 ${\displaystyle \sin ^{2}\theta }$ ${\displaystyle \sec ^{2}\theta }$ ${\displaystyle \csc ^{2}\theta }$

6

 [itex]\csc^2\theta - \cot^2\theta =

7 [itex]1 + \tan^2\theta =

 ${\displaystyle \sin ^{2}\theta }$ ${\displaystyle \sec ^{2}\theta }$ ${\displaystyle \csc ^{2}\theta }$

8

 [itex]\sec^2\theta - \tan^2\theta =

9 [itex]1 - \cos^2\theta =

 ${\displaystyle \sin ^{2}\theta }$ ${\displaystyle \sec ^{2}\theta }$ ${\displaystyle \csc ^{2}\theta }$

10 [itex]1 - \sin^2\theta =

 ${\displaystyle \sin ^{2}\theta }$ ${\displaystyle \sec ^{2}\theta }$ ${\displaystyle \cos ^{2}\theta }$