Trig Identities/Unit Circle

Front

What is the definition of \csc\theta?

Back

\csc\theta = \frac{1}{\sin\theta}

Front

What is the definition of \sec\theta?

Back

\sec\theta = \frac{1}{\cos\theta}

Front

What is the definition of \cot\theta?

Back

\cot\theta = \frac{\cos\theta}{\sin\theta}

Front

Simplify \cot\theta \sin\theta.

Back

\cot\theta \sin\theta = \cos\theta

Front

What is the identity for \sec^2\theta - 1?

Back

\sec^2\theta - 1 = \tan^2\theta

Front

What is the relationship between sine and cosine?

Back

\sin^2\theta + \cos^2\theta = 1

Front

What is the definition of \tan\theta?

Back

\tan\theta = \frac{\sin\theta}{\cos\theta}

Front

What is the Pythagorean identity involving \tan\theta?

Back

1 + \tan^2\theta = \sec^2\theta

Front

What is the definition of \sin\theta in terms of the unit circle?

Back

\sin\theta = \frac{y}{r}, where (x,y) is the point on the unit circle and r is the radius.

Front

What is the definition of \cos\theta in terms of the unit circle?

Back

\cos\theta = \frac{x}{r}, where (x,y) is the point on the unit circle and r is the radius.