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Q.

If A sin θ = 3 and A cosθ = 4, then select correct alternatives.
(i) A = 5 (ii) A = 7
(iii) θ = 37° (iv) θ= 53°

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a

(i, ii}

b

(ii, iv)

c

(i, iii)

d

(ii, iii)

answer is C.

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Detailed Solution

A sinθ = 3 and A cos θ = 4
 A2(sin2θ + cos2θ) = 32 + 42
A2 = 25A = 5
Also tanθ =34  θ = 37°

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If A sin θ = 3 and A cosθ = 4, then select correct alternatives.(i) A = 5 (ii) A = 7(iii) θ = 37° (iv) θ= 53°