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7 In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand side 1 + tan? x, in terms of sin x and cos r. (b) Next, add the two terms in the expression you got in part (a). (You need both terms to have a common denominator.) Cosco (c) Then, use the Pythagorean identity sin2 x + cos? x = 1 to simplify part (b). you got it in (d) Last, rewrite what you have in part (c) in terms of sec x. 2 CC Tatyana Khodorovskiy

7 In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand side 1 + tan? x, in terms of sin x and cos r. (b) Next, add the two terms in the expression you got in part (a). (You need both terms to have a common denominator.) Cosco (c) Then, use the Pythagorean identity sin2 x + cos? x = 1 to simplify part (b). you got it in (d) Last, rewrite what you have in part (c) in terms of sec x. 2 CC Tatyana Khodorovskiy

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 12RE
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How can we solve a,b, c, and d using the identity
7. In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand side 1 ++ tan? x, in terms of sin x and cos r. (b) Next, add the two terms in the expression you got in part (a). (You need both terms to have a common denominator.) Cos(a (c) Then, use the Pythagorean identity sin? x + cos? x = 1 to simplify what you got it in part (b). (d) Last, rewrite what you have in part (c) in terms of sec x. 2 cc O Tatyana Khodorovskiy
Transcribed Image Text:7. In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand side 1 ++ tan? x, in terms of sin x and cos r. (b) Next, add the two terms in the expression you got in part (a). (You need both terms to have a common denominator.) Cos(a (c) Then, use the Pythagorean identity sin? x + cos? x = 1 to simplify what you got it in part (b). (d) Last, rewrite what you have in part (c) in terms of sec x. 2 cc O Tatyana Khodorovskiy
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