2. Trigonometric Functions on Right Triangles

Concept Check Suppose that ―90° < θ < 90° .   Find the sign of each function value. sec θ/2

Concept Check Suppose that ―90° < θ < 90° . Find the sign of each function value.

sec(―θ)

Concept Check Suppose that ―90° < θ < 90° .   Find the sign of each function value. cos(θ―180°)

Concept Check Find a solution for each equation. tan (3θ ― 4°) = 1 / [cot(5θ ― 8°)]

Concept Check Find a solution for each equation. sin(4θ + 2°) csc(3θ + 5°) = 1

Concept Check Find a solution for each equation. sec(2θ + 6°) cos(5θ + 3°) = 1

In Exercises 1–8, use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find the value of each of the six trigonometric functions of θ.

In Exercises 1–8, use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find the value of each of the six trigonometric functions of θ.

In Exercises 1–8, use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find the value of each of the six trigonometric functions of θ.

In Exercises 9–16, use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

cos 30°

In Exercises 9–16, use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

tan 30°

In Exercises 9–16, use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

sin 𝜋/4 - cos 𝜋/4

In Exercises 9–16, use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

tan 𝜋/4 + csc 𝜋/6