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0 votes
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in Trigonometry by (53.1k points)

The number of solutions of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

(A)  0 

(B)  1 

(C)   2 

(D)   3

1 Answer

+1 vote
by (53.3k points)
selected by
 
Best answer

Correct option  (C) 2

The given equation can be written as

but equation is not defined at x = 3π/2.

Hence, the required number of solutions is 2. 

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