Question

Number of solutions of the equation
Tan x+Secx = 2 Cos x in the interval
(0,2r) is​

Answer 1

Answer:

tanx = sin x / cos x

1+ sin x = 2 (cos x)^2

sinx = cos2x

sinx = sin (90-2x)

x = 90-2x

x= 30°

-sinx = sin(270-2x)

sin(-x) = sin(270-2x)

-x = 270-2x

x= 270°

So, it is having two solutions.