Unit 4 Practice

Front

What is the identity for the tangent and cotangent functions?

Back

tan(x) = 1/cot(x)

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)

Front

What is the relationship between cosecant and sine?

Back

csc(x) = 1/sin(x)

Front

What is the value of sin²(θ) when θ = π/4?

Back

sin²(π/4) = 1/2

Front

What are the solutions for sin²(θ) = 1/2 in the interval [0, 2π)?

Back

θ = π/4, 3π/4, 5π/4, 7π/4

Front

What is the value of sec²(x) in terms of tan(x)?

Back

sec²(x) = 1 + tan²(x)

Front

What is the value of csc²(x) in terms of cot(x)?

Back

csc²(x) = 1 + cot²(x)

Front

When simplifying expressions, what is the conjugate of (a + b)?

Back

The conjugate is (a - b).

Front

What is the value of sin(θ) when θ = 0?

Back

sin(0) = 0