Question

Question #97d48

Answer 1

Equation insolvable.

Explanation:

`sec x - (cos x)/(1 + sin x) = tan x`
`1/cos x - cos x/(1 + sin x) = sin x/(cos x)`
`(1 + sin x - cos^2 x)/(cos x(1 + sin x)) = sin x/(cos x)`
Replace (1 - cos^2 x) by sin^2 x.
Simplify by cos x with condition cos x diff. to 0, or x diff. to `pi/2 or (3pi)/2`
Cross multiply:
sin^2 x + sin x = sin x(1 + sin x) = sin x + sin 2^x.
This equation is insolvable.