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Fundamental Trigonometric Identities

These are your basic building blocks for solving trigonometric equations and understanding how the pieces fit together. Using these identities can make sense of even the scariest looking trig.

Ratio of Trigonometric Functions

Which of the following is equal to

\[ \frac{ \sin \theta } { \cos \theta} ? \]

If \(\displaystyle \sin \theta=\frac{15}{17},\) what is the value of \[\cos \theta \times \tan \theta ?\]

Which of the following is equal to

\[ \frac{ \cot \theta } { \cos \theta} ? \]

If \(\cot \theta=\frac{24}{19},\) what is the value of \[\frac{\sec \theta}{\csc \theta} ?\]

If \(\displaystyle \tan \theta=\frac{20}{19},\) what is the value of \[\frac{\cos \theta}{\sin \theta}?\]

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