As in Example 1a of Section 5.1, assume tan e = -1.52, and e is in the second quadrant. Use one of the fundamental identities to find sec e. Provide 4 decimal places. Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
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The second photo is example 1a for reference
As in Example 1a of Section 5.1, assume tan
e = -1.52, and e is in the second quadrant.
Use one of the fundamental identities to find
sec 0. Provide 4 decimal places.
Answer:
Transcribed Image Text:As in Example 1a of Section 5.1, assume tan e = -1.52, and e is in the second quadrant. Use one of the fundamental identities to find sec 0. Provide 4 decimal places. Answer:
Solution
a. We use an identity that relates the tangent and secant functions.
tan? 0 + 1 = sec2 0
Pythagorean identity
(-)
+ 1 = sec² 0
%3|
tan 0
25
+ 1 = sec² 0
9.
Square –.
34
sec2 0
9.
Add; 1 = %
34
= sec 0
9.
Take the negative square root
because 0 is in quadrant II.
Choose the
correct sign.
V34 Simplify the radical: -V
V34
34
3.
sec 0
3
and rewrite.
Transcribed Image Text:Solution a. We use an identity that relates the tangent and secant functions. tan? 0 + 1 = sec2 0 Pythagorean identity (-) + 1 = sec² 0 %3| tan 0 25 + 1 = sec² 0 9. Square –. 34 sec2 0 9. Add; 1 = % 34 = sec 0 9. Take the negative square root because 0 is in quadrant II. Choose the correct sign. V34 Simplify the radical: -V V34 34 3. sec 0 3 and rewrite.
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