Trigonometric expressions, identities, and equations

Front

What is the value of \( \cot \pi \)?

Back

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Front

What is the equivalent of \( \csc^2 x \) in terms of other trigonometric functions?

Back

\( \csc^2 x \) is equivalent to \( 1 + \cot^2 x \).

Front

What is \( \frac{1}{\sec \theta} \) equivalent to?

Back

\( \cos \theta \)

Front

What is \( \csc(x) \) equivalent to?

Back

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

Front

Simplify: \( \frac{\tan x + \cot x}{\cot x} \)

Back

\( \sec^2 x \)

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the co-function identity for \( \sin \) and \( \cos \)?

Back

\( \sin(90^\circ - x) = \cos x \)