Question

Question 9
If sin(X + Y) = cos(X - Y) = 1 then

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Answer 1

Answer:

sin(X+Y)= 1 = sin90

so, X+Y = 90.........(i)

Also cos(X–Y) = 1 = cos 0

so X–Y = 0 .........(ii)

apply (i) + (ii), we get

2X = 90

X = 45° & Y = 45°