If 3sinθ + 5cosθ = 5, then the value of 5sinθ - 3cosθ will be
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3sinθ = 5(1 − cosθ) = 5 × 2sin2(θ/2) ⇒ tan(θ/2) = 3/5
Step-by-step explanation:
5xsintheta -3 cos theta.
5x 2tan theta (theta /2)/1+tan^2(theta/2)-3[1-tan^2(theta/2)/1+tan^2(theta/2).
5x 2x(3/5)/1+(9/25)-3x[1-9/25]/1+(9/25)
=3.
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