Question

sin inverse(1+tan square x/1-tan square x​

Answer 1

Answer:

Q

- ton

[cos' [ 1 = tex]

-

+ ton²

Let I=

cos

2

1- ton x

1+ ton²x

dx

2

Cos²x

1 + sin ²x

I

los

1

dx

S

los

cos²x

Cos ²x + sin²x.

2

-

dx

cos²x - sin ² x = cos 2x

cos²x + sin ² x

1

(2

I =

S

cos" [cas 2x] dx

2x]dx

I = (2x d

dx

Sx³ dx

n

2+1

3

=

C is a constant

1+1

I = 2x²

+ C

=

2x

2

2

+ C = x² + C