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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.

Trigonometric Co-Function Identities

         

Which of the following is equal to

\[ \cot ( 90 ^ \circ - \theta) ? \]

Given that \( \tan N ^ \circ = \frac { 1} { \tan 30 ^\circ} \), where \( 0 \leq N < 180 \), what is the value of \(N\)?

Which of the following is the same as \(\sin (-769^{\circ})?\)

In the above graph, \(a=(7, 0)\) and \(b=(0, -12).\) What is the value of \[\cos(-\theta)+\sin(180^{\circ} - \theta)?\]

Which of the following is equal to

\[ \cos \left( \frac{\pi}{2} -2 \theta \right)? \]

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