If \frac{x}{3} = 2 \sin A, \frac{y}{3} = 2 \cos A, then the value of x^2 + y^2 is:... | MCQ 1m | Maths | SuperPadhai

Introduction To Trigonometry > Question

MCQ1 markYear: 2024EasyCBSE Class 10

trigonometryidentitysin2-cos2

Question

If

\frac{x}{3} = 2 sin A

,

\frac{y}{3} = 2 cos A

, then the value of

x^{2} + y^{2}

is:

Solution

1

x = 6 sin A

,

y = 6 cos A

.

x^{2} + y^{2} = 36 sin^{2} A + 36 cos^{2} A = 36

+1 mark

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