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In a ΔPQR, if 3 sinP + 4 cosQ = 6 and 4 sinQ + 3 cosP = 1, then the angle R is equal to (a) 5π/6 (b) π/6 (c) π/4 (d) 3π/4

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In a ΔPQR, if 3 sinP + 4 cosQ = 6 and 4 sinQ + 3 cosP = 1, then the angle R is equal to

(a) 5π/6

(b) π/6

(c) π/4

(d) 3π/4

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1 Answer

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Best answer

The correct option is (b) π/6.

Explanation:

Given A ΔPQR such that

3 sinP + 4 cosQ = 6 -------(i)

4 sinQ + 3 cosP = 1 -------(ii)

On squaring and adding the Eqs. (i) and (ii), we get

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