Evaluating Trig Inverses & Compositions

Front

Evaluate: sin⁻¹(-√2/2)

Back

-π/4

Front

From what quadrants are the answers for tan⁻¹?

Back

Quadrants 1 and 4

Front

Evaluate: tan⁻¹(cos 60°)

Back

DNE

Front

Evaluate: sin⁻¹[cosπ]

Back

-π/2

Front

Evaluate: csc[cos⁻¹(√3/2)]

Back

2

Front

Definition: Inverse Trigonometric Functions

Back

Functions that reverse the action of the standard trigonometric functions.

Front

Definition: Range of sin⁻¹(x)

Back

[-π/2, π/2]

Front

Definition: Range of cos⁻¹(x)

Back

[0, π]

Front

Definition: Range of tan⁻¹(x)

Back

(-π/2, π/2)

Front

Concept: Relationship between sin and cos

Back

sin(θ) = cos(π/2 - θ) for all θ.