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Problem 1.3.67
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. sin(2๐/3)
Problem 1
In Exercises 1โ8, a point on the terminal side of angle ฮธ is given. Find the exact value of each of the six trigonometric functions of ฮธ. (-4, 3)
Problem 1.3.69
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. csc(7๐/6)
Problem 1.3.61
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. cos 225ยฐ
Problem 1.3.59
Find the reference angle for each angle.
-25ฯ/6
Problem 1.3.70
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. cot(7๐/4)
Problem 1.3.73
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. sin(-240ยฐ)
Problem 4
In Exercises 1โ8, a point on the terminal side of angle ฮธ is given. Find the exact value of each of the six trigonometric functions of ฮธ. (3, 7)
Problem 6
In Exercises 1โ8, a point on the terminal side of angle ฮธ is given. Find the exact value of each of the six trigonometric functions of ฮธ. (5, -5)
Problem 8
In Exercises 1โ8, a point on the terminal side of angle ฮธ is given. Find the exact value of each of the six trigonometric functions of ฮธ. (-1, -3)
Problem 10
In Exercises 9โ16, evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined. tan ๐
Problem 12
In Exercises 9โ16, evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined. csc ๐
Problem 27
In Exercises 23โ34, find the exact value of each of the remaining trigonometric functions of ฮธ. cos ฮธ = 8/17, 270ยฐ < ฮธ < 360ยฐ
Problem 29
In Exercises 23โ34, find the exact value of each of the remaining trigonometric functions of ฮธ. tan ฮธ = -2/3, sin ฮธ > 0
Problem 31
In Exercises 23โ34, find the exact value of each of the remaining trigonometric functions of ฮธ. tan ฮธ = 4/3, cos ฮธ < 0
Problem 33
In Exercises 23โ34, find the exact value of each of the remaining trigonometric functions of ฮธ. sec ฮธ = -3, tan ฮธ > 0
Problem 35
In Exercises 35โ60, find the reference angle for each angle. 160ยฐ
Problem 37
Find the reference angle for each angle.
205ยฐ
Problem 39
In Exercises 35โ60, find the reference angle for each angle.
355ยฐ
Problem 41
In Exercises 35โ60, find the reference angle for each angle.
7๐/4
Problem 42
Find the reference angle for each angle.
5ฯ/4
Problem 45
In Exercises 35โ60, find the reference angle for each angle.
-150ยฐ
Problem 77
Use reference angles to find the exact value of each expression. Do not use a calculator. sec 495ยฐ
Problem 77
Find the area of the sector of a circle of radius r formed by a central angle ฮธ. Express area in terms of ฯ. Then round your answer to two decimal places. Radius, r: 4 inches Central Angle, ฮธ: ฮธ = 240ยฐ
Problem 79
Use reference angles to find the exact value of each expression. Do not use a calculator. cot 19๐/6
Problem 83
In Exercises 61โ86, use reference angles to find the exact value of each expression. Do not use a calculator. tan (-17๐/6)
Problem 84
Use the circle shown in the rectangular coordinate system to solve Exercises 81โ86. Find two angles, in radians, between -2๐ and 2๐ such that each angle's terminal side passes through the origin and the given point.
F
Problem 85
Use reference angles to find the exact value of each expression. Do not use a calculator. sin (-17๐/3)
Problem 87
In Exercises 87โ92, find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin ๐/3 cos ๐ - cos ๐/3 sin 3๐/2
Problem 91
Find the exact value of each expression. Write the answer as a single fraction. Do not use a calculator. sin (3๐/2) tan (-15๐/4) - cos (-5๐/3)
