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Question

Question: Maximum value of the expression 2sinx + 4cosx + 3 is...

Maximum value of the expression 2sinx + 4cosx + 3 is

A

2 5\sqrt{5}+ 3

B

2 5\sqrt{5}- 3

C

5\sqrt{5}+ 3

D

None

Answer

2 5\sqrt{5}+ 3

Explanation

Solution

Maximum value of 2sinx + 4cosx =252\sqrt{5}. Hence the

maximum value of 2sinx + 4cosx +3 is 25+32\sqrt{5} + 3