Trigonometry/Identities/Quiz

<quiz display=simple>

{Dividing the Pythagorean equation by which variable produces $co{s}^2\theta +{\sin }^2\theta =1$? |type="()"} - $x^2$ - $y^2$ + $r^2$

{Dividing the Pythagorean equation by which variable produces ${\cos }^2\theta +1={\csc }^2\theta$? |type="()"} - $x^2$ + $y^2$ - $r^2$

{Dividing the Pythagorean equation by which variable produces $1+{\tan }^2\theta ={\sec }^2\theta$? |type="()"} + $x^2$ - $y^2$ - $r^2$

{ |type="{}"} Failed to parse (syntax error): {\displaystyle \cos^2\theta + \sin^2\theta = { 1 _1 } {<math>\cot^2\theta + 1 = |type="()"} - <math>\sin^2\theta} - ${\sec }^2\theta$ + ${\csc }^2\theta$

{ |type="{}"} Failed to parse (syntax error): {\displaystyle \csc^2\theta - \cot^2\theta = { 1 _1 } {<math>1 + \tan^2\theta = |type="()"} - <math>\sin^2\theta} + ${\sec }^2\theta$ - ${\csc }^2\theta$

{ |type="{}"} Failed to parse (syntax error): {\displaystyle \sec^2\theta - \tan^2\theta = { 1 _1 } {<math>1 - \cos^2\theta = |type="()"} + <math>\sin^2\theta} - ${\sec }^2\theta$ - ${\csc }^2\theta$

{Failed to parse (syntax error): {\displaystyle 1 - \sin^2\theta = |type="()"} - <math>\sin^2\theta} - ${\sec }^2\theta$ + ${\cos }^2\theta$

</quiz>