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Question

The number of solutions of the equation tanx + secx= 2cosx lying in the

Internal [0,2π] is


A

0

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B

1

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C

2

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D

3

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Solution

The correct option is C

2


2sin2 x + sin x - 1 = 0 ⇒ sin x = 12, -1

sin x = -1 ⇒ x = 3π2 Which does not satisfy the eqaution

∴ sin x = 12 ⇒ x = π6, 5π6


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