1. Find the exact value of sin 225° as a sine of the difference of two angles.

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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1. Find the exact value of sin 225° as a sine of the difference of two angles.
5
and
13
2. Find sin 2t if cos t
<t<T.
5
and cos v
13
3
3. Find the exact value of tan(u + v) if sin u =
and both u and v are in Quadrant II.
V =
4-6. Find the exact values of sin-
cos
12'
12
tan, using half-angles.
12
7-10. Solve the following trigonometric equations where 0 < 0 < 2n.
(a) cos e = sec e
(b) 4sin? e – 8cos 0 +1=0
(c) cot 0 +csc 0 = 1
1
(d) cos 40
%3|
2
Transcribed Image Text:1. Find the exact value of sin 225° as a sine of the difference of two angles. 5 and 13 2. Find sin 2t if cos t <t<T. 5 and cos v 13 3 3. Find the exact value of tan(u + v) if sin u = and both u and v are in Quadrant II. V = 4-6. Find the exact values of sin- cos 12' 12 tan, using half-angles. 12 7-10. Solve the following trigonometric equations where 0 < 0 < 2n. (a) cos e = sec e (b) 4sin? e – 8cos 0 +1=0 (c) cot 0 +csc 0 = 1 1 (d) cos 40 %3| 2
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