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Trigonometric Functions

SOH-CAH-TOA! Have you heard the call of the trig function? Use them to navigate the trickier sides (and angles) of geometric shapes.

Level 2

         

\[ \Large \sin \left(30^\circ\right) = \ ? \]

\[ \cos(45^\circ) \times \cos(46^\circ) \times \cos(47^\circ) \times \ldots \times \cos(135^\circ ) = \ ? \]

\[ \large \frac{\frac{\frac{\frac{\frac{\sin x}{\cos x}}{\tan x}}{\cot x}}{\sec x}}{\csc x}\]

Find the value of this fraction tower if \(0^\circ < x < {90}^\circ\).

True or False?

\[ \sin ^{-1} \left( \sin \theta \right) = \theta. \]

Calculate \[ \frac{ 9 \cot^2 60^\circ + \sec ^2 45 ^\circ - 4 \sin 90^\circ } { 3 \tan^2 30^\circ + \csc^2 45^\circ - \tan 45^\circ }. \]

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