1.

Solve sin (x+y) = cos(x-y)

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Answer:

solution

sin (x+y) can be written as cos [ 90-(x+y ] [ sin x = cos (90-x) ]

therefore we can rewrite the given expression as

cos [ 90-(x+y) ] = cos (x - y)

=> 90 - (x+y) = (x - y)

=> 90 = (x - y)+(x + y) [ by TRANSPOSING -(x + y) to the right HAND side ]

=> 90 = x - y + x + y

=> 90 = 2x

=> x = 45°

=> y = 0°



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