Question

given the trigonometric value of an angle, use the corresponding inverse trigonometric function to find the measure of the angle.
inverse sine
if \\( \sin \theta = x \\), then
\\( \sin^{-1}( ) \\)
inverse cosine
if \\( \cos \theta = x \\), then
\\( \cos^{-1}( ) \\)
inverse tangent
if \\( \tan \theta = x \\), then
\\( \tan^{-1}( ) \\)

Explanation:

Step1: Inverse Sine

If $\sin\theta = x$, then $\theta=\sin^{-1}(x)$

Step2: Inverse Cosine

If $\cos\theta = x$, then $\theta=\cos^{-1}(x)$

Step3: Inverse Tangent

If $\tan\theta = x$, then $\theta=\tan^{-1}(x)$

Answer:

For Inverse Sine: $\theta = \sin^{-1}(x)$; For Inverse Cosine: $\theta=\cos^{-1}(x)$; For Inverse Tangent: $\theta=\tan^{-1}(x)$