Question

If x = a sin A + b cos A and y = a sin A - b cos A, then x² + y² = ? (a) a + b (b) a³ + b³ (c) a² + b³ (d) a² + b²

Answer 1

Step-by-step explanation:

b) a³+b³

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Answer 2

Answer:

(a) (x + y)² = x² + y² + 2xy = (x–y)² + 4xy. (b) ... (a) (a +b)³ = a³ + 3a² b + 3ab² + b³ = a³ + b³ + 3ab (a+b) ... (c) (a+b)³ + (a–b)³ = 2(a³ + 3ab²) = 2a (a² +3b²).