Question

1 point
1
(A)
3. If tan-(2x)+ tan-(3x)= then x = ?
4
(B) ☺ ☺
(D)
10
6
2.
Choose
1 point​

Answer 1

Step-by-step explanation:

ANSWER

tanx+tan

2

x+tan

3

x=1⇒cos

2

xsinx+sin

3

x+cosxsin

2

x=cos

3

x

⇒sinx(cos

2

x+sin

2

x)=cos

3

x−cosxsin

2

x

⇒sinx=cos

3

x−cosx(1−cos

2

x)=2cos

3

x−cosx

On Squaring,

sin

2

x=4cos

6

x+cos

2

x−4cos

4

x

⇒(1−cos

2

x)=4cos

6

x+cos

2

x−4cos

4

x

⇒2cos

6

x−2cos

4

x+cos

2

x=

2

1

So, Option A is correct answer.