9 a Show that sin (a + B) sin (a - B) = sin? a - sin? ß. b Hence solve the equation sin? 30 – sin? 0 = sin 20, for 0 < 0 < n. 10 a Show that sin 3x = 3 sin x 4 sin' x. b Hence solve the equation sin 3x + sin 2x = sin x, for 0
9 a Show that sin (a + B) sin (a - B) = sin? a - sin? ß. b Hence solve the equation sin? 30 – sin? 0 = sin 20, for 0 < 0 < n. 10 a Show that sin 3x = 3 sin x 4 sin' x. b Hence solve the equation sin 3x + sin 2x = sin x, for 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
Q9 only
Transcribed Image Text:9 a Show that sin (a + ß) sin (a – B) = sin² a – sin² ß.
b Hence solve the equation sin² 30 – sin? 0 = sin 20, for 0 < 0 < n.
10 a Show that sin 3x = 3 sin x
4 sin'x.
X.
b Hence solve the equation sin 3x + sin 2x =
sin x, for 0 < x < 2n.
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