Evaluate:
To find:
Formula Used:
1.
2. sec2 x = 1 + tan2 x
Dividing the given equation by cos2x in the numerator and denominator gives us,
… (1)
Let y = tan x
dy = sec2 x dx … (2)
Also, y2 = tan2 x
i.e., y2 = sec2 x – 1
sec2 x = y2 + 1 … (3)
Substituting (2) and (3) in (1),
Since y = tan x,
Therefore,