Basic Trig Identities

Front

Rewrite tan(x) in terms of sin(x) and cos(x).

Back

tan(x) = sin(x)/cos(x)

Front

Simplify tan(x)csc(x).

Back

sec(x)

Front

Is tan²(x) + 1 = sec(x) a Pythagorean identity?

Back

No

Front

cot(θ) = ?

Back

cos(θ)/sin(θ)

Front

Solve for cot²(θ): 1 + cot²(θ) = csc²(θ).

Back

cot²(θ) = csc²(θ) - 1

Front

What is the definition of sine in a right triangle?

Back

sin(θ) = opposite/hypotenuse

Front

What is the definition of cosine in a right triangle?

Back

cos(θ) = adjacent/hypotenuse

Front

What is the definition of tangent in a right triangle?

Back

tan(θ) = opposite/adjacent

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(x) + cos²(x) = 1

Front

What is the relationship between secant and cosine?

Back

sec(x) = 1/cos(x)