Maximum value of (2 \sin\theta + 3 \cos\theta) is

RRB Junior Engineer Stage 1 Model Papers 1

Question : 10 of 100

Marks: +1, -0

Maximum value of

(2 \sinθ + 3 \cosθ)

Solution:

Maximum value of

a \sin θ + b \cosθ=√{a^2+b^2}

∴ Maximum value of

2 \sin θ + 3 \cos θ=√{2^2+3^2}=√13

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