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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?


  1. Always true  

  2. Always false

  3. Can't say

  4. True 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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