Trig Identities Practice

Front

What is the relationship between sine and cosine for complementary angles?

Back

For any angle \( \theta \), \( \sin(\theta) = \cos(90^\circ - \theta) \).

Front

State the Pythagorean identity involving sine and cosine.

Back

The Pythagorean identity states that \( \sin^2(\theta) + \cos^2(\theta) = 1 \).

Front

What is the value of \( \sin(90^\circ) \)?

Back

\( \sin(90^\circ) = 1 \).

Front

What is the value of \( \cos(0^\circ) \)?

Back

\( \cos(0^\circ) = 1 \).

Front

What is the value of \( \tan(45^\circ) \)?

Back

\( \tan(45^\circ) = 1 \).

Front

What is the sine of an angle in terms of the opposite side and hypotenuse in a right triangle?

Back

\( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \).

Front

What is the cosine of an angle in terms of the adjacent side and hypotenuse in a right triangle?

Back

\( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \).

Front

What is the tangent of an angle in terms of sine and cosine?

Back

\( \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \).

Front

What is the co-function identity for sine and cosine?

Back

\( \sin(\theta) = \cos(90^\circ - \theta) \) and \( \cos(\theta) = \sin(90^\circ - \theta) \).

Front

What is the value of \( \sec(\theta) \) in terms of cosine?

Back

\( \sec(\theta) = \frac{1}{\cos(\theta)} \).