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

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

Back

1

Front

Simplify \( \sin^2 t + \cos^2 t \).

Back

1

Front

Simplify \( \tan^2 t + 1 \).

Back

\( \sec^2 t \) (Pythagorean Identity)

Front

Simplify \( 1 + \cot^2 t \).

Back

\( \csc^2 t \) (Pythagorean Identity)

Front

What is the value of \( \sin t \) when \( t = 90^{\circ} \)?

Back

1

Front

What is the value of \( \cos t \) when \( t = 0^{\circ} \)?

Back

1