Evaluating Trig and Inverse Trig Functions

Front

Define the range of the inverse cosine function (cos⁻¹).

Back

The range of cos⁻¹ is [0, π].

Front

What is the exact value of cos⁻¹(1/2)?

Back

π/3

Front

What is the exact value of tan⁻¹(1)?

Back

π/4

Front

What is the exact value of sin⁻¹(-√3/2)?

Back

−π/3

Front

What is the exact value of cos⁻¹(-1/2)?

Back

2π/3

Front

Define the cosecant function (csc).

Back

Cosecant is the reciprocal of sine: csc(x) = 1/sin(x).

Front

What is the exact value of csc(-π/3)?

Back

2√3/3

Front

What is the domain of the inverse sine function (sin⁻¹)?

Back

The domain of sin⁻¹ is [-1, 1].

Front

What is the domain of the inverse tangent function (tan⁻¹)?

Back

The domain of tan⁻¹ is all real numbers (-∞, ∞).

Front

What is the relationship between sine and cosine in a right triangle?

Back

sin(θ) = opposite/hypotenuse; cos(θ) = adjacent/hypotenuse.