Question

If (3sin 0 + 5cos O )= 5, then the value of
(5sin 0-3 cos e ) is
​

Answer 1

Answer:

Given,

3 sin θ + 5 cos θ = 5….(i)

Let 5 sin θ – 3 cos θ = p….(ii)

Squaring and adding (i) and (ii),

9 sin2θ + 25 cos2θ + 30 sin θ cos θ + 25 sin2θ + 9 cos2θ – 30 sin θ cos θ = 25 + p2

9(sin2θ + cos2θ) + 25(cos2θ + sin2θ) = 25 + p2

9 + 25 = 25 + p2

Therefore, p2 = 9

p = ±3

Answer 2

Answer:

ans = x

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