(a) (cos 0 - sin 0)² Cos cosec sec8 = sec 0 - 2 sin 0

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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Question
PERSHT
9 Verify each of the following trigonometric identities:
(cos - sin 0)²
(a)
Cos
cosec 0 sec 0
cot
2 sin cos = sin(0 + 6) + sin(0) — 6)
(b)
(c)
10 Show that:
(a) sin 75°
=
= sec 0 - 2 sin
(b) tan 15" =
= 1 + tan²0
1+√3
2√2
√3-1
√3+1
31 to 40
38 to 39
Transcribed Image Text:PERSHT 9 Verify each of the following trigonometric identities: (cos - sin 0)² (a) Cos cosec 0 sec 0 cot 2 sin cos = sin(0 + 6) + sin(0) — 6) (b) (c) 10 Show that: (a) sin 75° = = sec 0 - 2 sin (b) tan 15" = = 1 + tan²0 1+√3 2√2 √3-1 √3+1 31 to 40 38 to 39
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(b)
cosec 0 sec 0
cot f
= 1 + tan²0
Transcribed Image Text:(b) cosec 0 sec 0 cot f = 1 + tan²0
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