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Can you please answer this question with proper solution and explanation.

Can you please answer this question with proper solution and explanation.

Question Image
Grade:12

2 Answers

Amit
405 Points
2 years ago
Hi there.. for such questions you just need to figure out that 2 is the maximum value of the given expression.. which holds true at x=π/2 and y=0.. hence x+y=π/2..
Soumendu Majumdar
159 Points
2 years ago
Dear Student, 
Since you have been given that Both angles lie in the first quadrant i.e [0, PI/2]
so both sin x and cos y are positive
 Now 
-1\leq sinx\leq 1
and         -1\leq cosy\leq 1
So for sin x + cos y = 2
Both sin x and cos y should have their maximum values
Now recall for which value of x and y should sin x and cos y be 1 mentioned that x and y is between 0 and Pi/2
So the only possible case that can be found is
x = Pi/2 & y = 0
Hence
x + y = Pi/2......option D
Hope it helps!

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