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Double Angle Identities Flashcards | StudBud
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Double Angle Identities
Double Angle Identities
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Answers
1
Write the trigonometric expression in terms of a single trigonometric function. 2tan 9x/ 1 − tan
2
9x
2tan(9x)
tan(18x)
9tan(x)
tan(9x)
2
If tanx = − 15/8 and 270° <
α
< 360° Find the exact value of cos(2x)
-161/289
240/289
289/240
161/289
3
The formula for tan(2x) = 2tanx/1-tan
2
x
True
False
4
Write cos
4
x in terms of the first power of one or more cosine functions
1/4(3-4cosx+cos4x)
1/8(3-4cos2x+cos4x)
1/8(3-2cosx+2cos4x_
1/8(2+4cos4x-cos2x)
5
Given cosx = − 2/3 π /2 < α < π Find sin(2x)
-√5/9
(-4√5)/9
(5√4)/9
4√5
6
One of the formulas for cos(2x) = 2cos
2
x+1
False
True
7
Which of the following describes the relationship of sin(2x)?
sin2xcos2x
2(sinx+cosx)
sinx-cosx
2sinxcosx
8
If sinx=4/5 and 0º<x<90º Find the exact value of sin2x
24/25
25/24
24/5
25/12
9
Write 2(sin8xcos8x) in terms of a single trigonometry function.
2sin(8x)
sin(8x)
2sin(16x)
sin(16x)