Explanation Given information: The right angled triangle, where t is the angle in the radian. Formula used: 1) tan t = Opposite side Adjacent side 2) sec t = 1 cos t 3) cos t = Adjacent side Hypotenuse 4) Pythagorean Theorem: In a right angled triangle, the square of the hypotenuse is equal to the sum of square of the remaining sides of the triangle. Calculation: Assume x be the length of the opposite side of an angle t . By using the Pythagorean Theorem, ⇒ 4 2 = x 2 + 3 2 By simplifying, ⇒ 16 = x 2 + 9 By solving this equation for x 2 ⇒ 16 − 9 = x 2 ⇒ x 2 = 7 By taking the square root of both sides, ⇒ x = ± 7 Since the length is a positive

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ISBN: 9780137590896

Author: Larry J. Goldstein; David C. Lay; David I. Schneider; Nakhle H. Asmar; William Edward Tavernetti

Publisher: Pearson Education (US)

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Chapter 8.4, Problem 4E

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To calculate: The values of tan t and sec t, where t is the radian measure of the angle shown in the below figure:

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Chapter 8.4, Problem 3E

Chapter 8.4, Problem 5E

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Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

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The values of tan t and sec t , where t is the radian measure of the angle shown in the below figure:

Solution Summary: The author explains the Pythagorean Theorem, where t is the radian measure of the angle shown in the figure.

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To calculate: The values of tan t and sec t, where t is the radian measure of the angle shown in the below figure:

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Chapter 8 Solutions