If 4 Cos θ + 3 Sin θ = x and 4 Sin θ − 3 Cos θ = y, find the value of
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 25
Given that
If 4 Cos θ + 3 Sin θ = x .......(1
and 4 Sin θ − 3 Cos θ = y.........(2
The sum of squares of both equations 1 and 2
16 (Cos2 θ + Sin2 θ) + 9 (Cos2 θ + Sin2 θ) = x2 + y2
x2 + y2 = 16 + 9 = 25