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(sin θ - 2sin3θ)/(2cos3θ-cos θ) = tan θ prove the following

(sin θ - 2sin3θ)/(2cos3θ-cos θ) = tan θ
 
prove the following

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago
Dear student 
(sin θ - 2sin3θ)/(2cos3θ-cos θ) = tan θ
L.H.S. = (sin θ - 2sin3θ)/(2cos3θ - cos θ)
           = [sin θ(1 - 2sin2θ)]/[cos θ(2cos2θ- 1)]
           = sin θ[1 - 2(1-cos2θ)]/[cos θ(2cos2θ -1)]
          = [sin θ(2cos2θ -1)]/[cos θ(2cos2θ -1)]
          = tan θ = R.H.S.

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