Question

# In a class, teacher gave a statement: sinA + cos B =x, cosA - sinB =y. Then Ajit came forward saying that x2+y2=2. What can be said about Ajit's statement? Always true  Always falseCan't sayTrue in some cases

Solution

## The correct option is A Always true  sinA + cos B= x ------- (i) cosA - sinB= y ------ (ii) Squaring (i) and (ii) and adding we get x2+y2=2. So, Ajit's statement will always be true.

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