Worksheets7.2 Compound Angle
Total questions: 10
Worksheet time: 20mins
Name
Class
Date
1.
Which identity represents a double-angle identity for sin 2θ?
a)
2sinθcosθ
b)
cos2θ - sin2θ
c)
1 - 2sin2θ
d)
2cos2θ - 1
2.
Use a double-angle or half-angle identity to find the exact value of each expression
cos θ = 4/5 and 270° < θ < 360°Find sin 2θ
a)
-1/5
b)
24/25
c)
-24/25
d)
-25/24
3.
Express
sin3A+sin5A as a product of sines or cosines.a)
2sin4A cos A
b)
sin4A cos A
c)
2 sin A cos 4A
d)
−2sin4A cos A
4.
Choose the appropriate product of sin12A − sin2A .
a)
2cos14A sin10A
b)
2cos7A sin5A
c)
2sin7Acos5A
d)
sin14A cos10A
5.
Choose the appropriate product of cos9x − cos x
a)
−2sin9xsinx
b)
2sin5x sin 4x
c)
−2sin5x sin4x
d)
2cos5x cos 4x
6.
Please choose the correct sum and difference formula:
sin (α-β) =
sin (α-β) =
a)
sin α cos β + cos α sin β
b)
sin α cos β - cos α sin β
c)
cos α cos β - sin α sin β
d)
cos α cos β + sin α sin β
7.
cos (180° + x) =
a)
cosx
b)
sinx
c)
-sinx
d)
-cosx
8.
sin(90°−θ)=
a)
sinθ
b)
cosθ
c)
sin(θ−90°)
d)
cos(90°−θ)
9.
Which of the following is equivalent to sin2θ?
a)
1+cos2θ
b)
1-cos2θ
c)
1-cosec2θ
d)
1+cosec2θ
10.
Which identity represents a double-angle identity for sin 2θ?
a)
2sinθcosθ
b)
cos2θ - sin2θ
c)
1 - 2sin2θ
d)
2cos2θ - 1
100 %
