Let sin x + sin y = m and cos x cos y = n If cos2x+y2cos2x-y2=n2k1-m2-n2m2k2+m2+n2then - Maths - Trigonometric Functions

Question

Let sin x + sin y = m and cos x
– cos y = n
If cos 2 x + y 2 cos 2 x - y 2 = n 2 k 1 - m 2 - n 2 m 2 k 2 + m 2
+ n 2 then
(A) k 1 = 4 (B) k 2 = 4 (C)
(A) k2 = 0 (D) k 1 = 0

Hari Shankar · Accepted Answer

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Let sin x + sin y = m and cos x – cos y = n. If cos 2 x + y 2 cos 2 x - y 2 = n 2 k 1 - m 2 - n 2 m 2 k 2 + m 2 + n 2 then (A) k 1 = 4 (B) k 2 = 4 (C) (A) k2 = 0 (D) k 1 = 0

Let sin x + sin y = m and cos x – cos y = n.
If $\frac{\cos^{2} (\frac{x + y}{2})}{\cos^{2} (\frac{x - y}{2})} = \frac{n^{2} (k_{1} - m^{2} - n^{2})}{m^{2} (k_{2} + m^{2} + n^{2})}$ then
(A) k ₁ = 4 (B) k ₂ = 4 (C) (A) k₂ = 0 (D) k ₁ = 0