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Question

The sum of the solutions of the equation
2 sin1(x2+x+1) + cos1(x2+x) = 3π2 is

A
0
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B
1
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C
1
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D
2
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Solution

The correct option is B 1
0x2+x+11 and 0x2+x1 x = 1, 0

For x = 1,L.H.S. = 2 sin1 1 + cos1 0 = 2×π2 + π2 = 3π2. x = 1 is a solution.

For x = 0,L.H.S. = 2 sin1 1 + cos1 0 = 3π2.Therefore, x = 0 is also a solution.Thus, the sum of solutions = 0 + (1)= 1.

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