Trig Identities - Exam

Front

What is csc(x) equivalent to?

Back

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

Front

Simplify tan(x)csc(x) to a basic trigonometry function.

Back

tan(x)csc(x) = sec(x)

Front

What is the identity cos²x + sin²x equal to?

Back

cos²x + sin²x = 1

Front

Expand cos(π/5 + π/6).

Back

cos(π/5 + π/6) = cos(π/5)cos(π/6) - sin(π/5)sin(π/6)

Front

Simplify 1 - sin²θ.

Back

1 - sin²θ = cos²θ

Front

What is the definition of secant (sec)?

Back

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

Front

What is the definition of cotangent (cot)?

Back

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

Front

What is the Pythagorean identity for tangent?

Back

tan²x + 1 = sec²x

Front

What is the double angle formula for sine?

Back

sin(2x) = 2sin(x)cos(x)

Front

What is the double angle formula for cosine?

Back

cos(2x) = cos²x - sin²x