Q. 19

Mark the Correct alternative in the following:

The solution of the equation cos2 x + sin x + 1 = 0 lies in the interval

A. (- π/4, π/4)

B. (- π/3, π/4)

C. (3π/4, 5π/4)

D. (5π/4, 7π/4)

Answer :

1-sin2x+sin x+1=0


sin2x-sin x-2=0


sin x = -1


so, x= 3π/2


and it lies between (5π/4, 7π/4)


Option D

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