. Given sinB=5/13 in QII and (6,-8) is on the terminal side of a ,find the exact value of sin (a+B) 2.Given SinB = 5/13 ,find th

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 40E
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1. Given sinB=5/13 in QII and (6,-8) is on the terminal side of a ,find the exact value of sin (a+B) 2.Given SinB = 5/13 ,find the exact value of the following: A.sin(2B) B.cos(2B) C.tan(2B) 3.Simplify the following expression: A.sin⁴0-cos⁴0/sin0cos0 B.sec²0-tan²0/sin0 C.cos0+cot0 sin0/sin0 4.Apply half-angle formula to find A.cos15° B.sin15° C.cos 5Π/B
AUTIO
What's More
Activity 2.1: Let Me try!
Let us find out if you really understand the discussed concept by answering these
exercises.
1. Given sin ß
in QII, and (6, -8) is on the terminal side of a, find the exact valia
13
of sin(a + ).
2. Given sin B
13
in QII, find the exact value of the following:
a. sin(2B)
b. cos (28)
C. tan (26)
3. Simplify the following expresssion:
sin 8-cos a
a.
sin8 cos 0
sec?0-tan?0
b.
cose+cot@ sine
sin 8
sin 9
4. Apply half-angle formula to find
a. cos 15°
b. sin 15°
Sn
C. COS--
5. A ball is throwņ following a projectile motion. It is known that the horizontal
distance (range) the ball can travel is given by R
sin 20, where ris the range ("
feet), v, is the initial speed (in fus), 6 is the angle of elevation the bol in throum
g-32 fVs? is the acceleration duo to
Transcribed Image Text:AUTIO What's More Activity 2.1: Let Me try! Let us find out if you really understand the discussed concept by answering these exercises. 1. Given sin ß in QII, and (6, -8) is on the terminal side of a, find the exact valia 13 of sin(a + ). 2. Given sin B 13 in QII, find the exact value of the following: a. sin(2B) b. cos (28) C. tan (26) 3. Simplify the following expresssion: sin 8-cos a a. sin8 cos 0 sec?0-tan?0 b. cose+cot@ sine sin 8 sin 9 4. Apply half-angle formula to find a. cos 15° b. sin 15° Sn C. COS-- 5. A ball is throwņ following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R sin 20, where ris the range (" feet), v, is the initial speed (in fus), 6 is the angle of elevation the bol in throum g-32 fVs? is the acceleration duo to
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