3.12 Equivalent representations of trigonometric functions

Interactive practice questions

Consider the statement: $\sin^2\left(\theta\right)+\cos^2\left(\theta\right)=2$sin2(θ)+cos2(θ)=2

Is the statement possible or impossible?

Possible

Impossible

Medium

< 1min

Which of the following options correctly completes the identity?

$\tan^2\left(x\right)+1=\editable{}$tan2(x)+1=

Medium

< 1min

Which of the following options correctly completes the identity?

$1=\editable{}$1=

Medium

< 1min

Simplify $\frac{1-\cos^2\left(\theta\right)}{1-\sin^2\left(\theta\right)}$1−cos2(θ)1−sin2(θ).

Medium

1min

Rewrite trigonometric expressions in equivalent forms with the Pythagorean identity.

Rewrite trigonometric expressions in equivalent forms with sine and cosine sum identities.

Solve equations using equivalent analytic representations of trigonometric functions.