Question

Verify the following trigonometric identity. Show all steps (1 + tanx)^2= sec^2x+2tanx

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(1 + tan x)^2 = sec^2 x + 2tan x

Step 02:

trigonometric identity:

(1 + tan x)² = sec² x + 2tan x

(1 + tan x)² = 1² + 2tan x + tan x ²

= 1 + 2 tan x + ( sec ² x - 1)

= 1 + 2 tan x + sec ² x - 1

= sec ² + 2tan x

sec ² + 2tan x = sec ² + 2tan x

That is the full solution.