Simplifying Trigonometric Identities

Front

What is the identity for \( \sec t \)?

Back

\( \sec t = \frac{1}{\cos t} \)

Front

What is the identity for \( \csc t \)?

Back

\( \csc t = \frac{1}{\sin t} \)

Front

What is the identity for \( \tan t \)?

Back

\( \tan t = \frac{\sin t}{\cos t} \)

Front

What is the identity for \( \cot t \)?

Back

\( \cot t = \frac{\cos t}{\sin t} \)

Front

What is the Pythagorean identity involving \( \sin \) and \( \cos \)?

Back

\( \sin^2 t + \cos^2 t = 1 \)

Front

Simplify \( \cos t \cdot \sec t \).

Back

1

Front

Simplify \( -\sin \theta \tan \theta \cot \theta \csc \theta \).

Back

-1

Front

What is the relationship between \( \sec^2 x \) and \( \tan^2 x \)?

Back

\( \sec^2 x = 1 + \tan^2 x \)

Front

What is the relationship between \( \csc^2 x \) and \( \cot^2 x \)?

Back

\( \csc^2 x = 1 + \cot^2 x \)

Front

Simplify \( \frac{1}{\cos x} \).

Back

\( \sec x \)