Question

tan²cos-1 1/√3 + cot² sin-1 1/√5=6​

Answer 1

Answer:

Correct option is

C

2

1

(3−

5

)

Given,

y=tan[

2

1

cos

−1

(

3

5

)]

Let, x=cos

−1

(

3

5

)

⇒cosx=

3

5

∴y=tan

2

1

x

y=tan

2

x

y=

1+cosx

1−cosx

=

1+

3

5

1−

3

5

=

3+

5

3−

5

rationalizing the factor, we get,

y=

2

3−

5