Trigonometry Identities

Front

What is the definition of \( \sec x \)?

Back

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

Front

What is the definition of \( \csc x \)?

Back

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

Front

What is the definition of \( \cot x \)?

Back

\( \cot x = \frac{1}{\tan x} \)

Front

What is the Pythagorean identity involving \( \sec^2 x \)?

Back

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

Front

What is the Pythagorean identity involving \( \csc^2 x \)?

Back

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

Front

What is the relationship between \( \sin x \) and \( \csc x \)?

Back

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

Front

What is the relationship between \( \cos x \) and \( \sec x \)?

Back

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

Front

What is the relationship between \( \tan x \) and \( \cot x \)?

Back

\( \tan x = \frac{1}{\cot x} \)

Front

What is the value of \( \csc^2 x - \cot^2 x \)?

Back

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

Front

What is the value of \( \sec^2 x - \tan^2 x \)?

Back

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