BackIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°
Find one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)
Find a calculator approximation to four decimal places for each circular function value.
sec 7.3159
CONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all.
tan 45°
Find the exact value of s in the given interval that has the given circular function value.
[ π , 3π/2] ; sec s = ―2√3/3
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find exact values of the six trigonometric functions for angle B. Rationalize denominators when applicable. See Example 1. b = 8, c = 11
Determine whether each statement is true or false. See Example 4. cot 30° < tan 40°
Determine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°
Find the linear speed v for each of the following.
the tip of the minute hand of a clock, if the hand is 7 cm long
Use the formula ω = θ/t to find the value of the missing variable.
θ = 2π/9 radian , ω = 5π/27 radian per min
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
cos s = 0.9250
Find the linear speed v for each of the following.
a point on the edge of a flywheel of radius 2 m, rotating 42 times per min
Find a formula for the area of each figure in terms of s.