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Problem 13
Use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.
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tan π/3
Problem 15
In Exercises 9β16, 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
Problem 16
In Exercises 9β16, 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
Problem 28
In Exercises 25β30, use an identity to find the value of each expression. Do not use a calculator. sinΒ² π + cosΒ² π 10 10
Problem 29
In Exercises 25β30, use an identity to find the value of each expression. Do not use a calculator. secΒ² 23Β° - tanΒ² 23Β°
Problem 31
In Exercises 31β38, find a cofunction with the same value as the given expression. sin 7Β°
Problem 32
Find a cofunction with the same value as the given expression.
sin 19Β°
Problem 33
In Exercises 31β38, find a cofunction with the same value as the given expression. csc 25Β°
Problem 34
Find a cofunction with the same value as the given expression.
csc 35Β°
Problem 35
In Exercises 31β38, find a cofunction with the same value as the given expression. tan π 9
Problem 36
Find a cofunction with the same value as the given expression.
tan (π/7)
Problem 37
In Exercises 31β38, find a cofunction with the same value as the given expression. cos 2π 5
Problem 38
Find a cofunction with the same value as the given expression.
cos (3π/8)
Problem 39
In Exercises 39β48, use a calculator to find the value of the trigonometric function to four decimal places.
sin 38Β°
Problem 41
In Exercises 39β48, use a calculator to find the value of the trigonometric function to four decimal places.
tan 32.7Β°
Problem 43
In Exercises 39β48, use a calculator to find the value of the trigonometric function to four decimal places.
csc 17Β°
Problem 45
In Exercises 39β48, use a calculator to find the value of the trigonometric function to four decimal places.
cos π/10
Problem 47
In Exercises 39β48, use a calculator to find the value of the trigonometric function to four decimal places.
cot π/12
Problem 49
In Exercises 49β54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.
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Problem 53
In Exercises 49β54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.
Problem 1.3.61
In Exercises 61β86, use reference angles to find the exact value of each expression. Do not use a calculator. cos 225Β°
Problem 1.3.75
In Exercises 61β86, use reference angles to find the exact value of each expression. Do not use a calculator. tan(-π/4)
Problem 1.3.59
Find the reference angle for each angle.
-25Ο/6
Problem 1.3.53
In Exercises 35β60, find the reference angle for each angle. 17π / 6
Problem 1.3.64
In Exercises 61β86, use reference angles to find the exact value of each expression. Do not use a calculator. sec 240Β°
Problem 1.3.49
Find the reference angle for each angle.
4.7
Problem 1.3.69
In Exercises 61β86, use reference angles to find the exact value of each expression. Do not use a calculator. csc(7π/6)
Problem 1.3.55
Find the reference angle for each angle.
23Ο/4
Problem 1.3.57
In Exercises 35β60, find the reference angle for each angle. - 11π / 4
Problem 1.3.67
In Exercises 61β86, use reference angles to find the exact value of each expression. Do not use a calculator. sin(2π/3)