Question
Asked Oct 27, 2019
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Use an Addition or Subtraction Formula to simplify the equation.

cos(θ) cos(2θ) + sin(θ) sin(2θ) = square root of 3 over 2

B) Find all solutions in the interval [0, 2π). 

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Expert Answer

Step 1

Given equation is

V3
cos(0) cos(20)+sin (0)sin (20):
2
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V3 cos(0) cos(20)+sin (0)sin (20): 2

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Step 2

Here, we use the identity cosxcosy+sinxsiny=cos(x-y)

cos(20-e)
2
3
cose
2
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cos(20-e) 2 3 cose 2

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Step 3

Since cos(pi/6)=sqrt(3)/2 and value of cosine is posi...

e=,27
6
6
117
ө-
6 6
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e=,27 6 6 117 ө- 6 6

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Math

Trigonometry

Trigonometric Ratios

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