InterviewSolution
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InterviewSolution
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SOLVE THIS EQUATION FAST... |
| Answer» N:-If √3 tan θ = 3 sin θ then prove that sin² θ - cos² θ = 1/3.Answer:-Given:-√3 tan θ = 3 sin θUsing tan θ = sin θ/cos θ in LHS we GET,Now,We have to prove:-sin² θ - cos² θ = 1/3Using sin² θ = 1 - cos² θ we get,⟹ 1 - cos² θ - cos² θ = 1/3Putting the value of cos θ we get,⟹ 1 - (1/√3)² - (1/√3)² = 1/3⟹ 1 - 1/3 - 1/3 = 1/3⟹ (3 - 1 - 1)/3 = 1/3⟹ 1/3 = 1/3Hence, Proved. | |