So, Sec (2 cot" x) = sec 20 15 It tan ² 20
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The answer is correct for simplifying, but please explain the step that is circled in red. I don't understand how sec2a turns into the square root of 1+tan^2 2a
Transcribed Image Text:b
50,
sec (2 cot¹ (x))
Let cot
x = a
x = cot a
x =
tan a
tana = 1/2
→
tan 20 =
2 tan a
1- tanza
sec (2 cot" x);
1
x
1 - I
22
Sec 20
1+ tan ² 20
(2x) ²
(x²-1)2
It
•• sec (2 cot" (6x)) = x² +1
x²-1
x
x²-1
2x
22²1
4
x² = 2x² +1+4x²
6x²-1)²
(x²³² + 1)²
x²-1
2
2
x+1
x²
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