Question

plz solve Q no 1 with explain fast

Answer 1

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Let f(x) = sin x + cosx

sin x + sin (90-x)

2sin{(x +(90-x)/2} cos {(x-(90+x)/2}

Using the formula

Sin A +Sin B =2sin{(A+B) /2}cos{(A-B) /2}

Then ,2sin45cos(x - 45)

2*1/ root 2*cos(x- 45)

Root 2 cos(x-45)

Maximum value of cos function is 1.

So, the answer is root 2

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