Question

y=sin^-1x cos^-1 (x^2/2) / 1-x^2 then find the value of y (1/2)+ y (1/root2)+ y (-1/2)+ y (-1/root2)​

Answer 1

Step-by-step explanation:

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Answer

Correct option is

A

2

π

Range of tan

−1

is (

2

−π

,

2

π

)

tan

−1

(−1)=x⇒tanx=−1=−tan

4

π

=tan(

4

−π

)⇒x=

4

−π

Range of cos

−1

is [0,π]

cos

−1

(

2

−1

)=y⇒cosy=

2

−1

=−cos

4

π

=cos(π−

4

π

)=cos

4

3π

⇒y=

4

3π

.

∴ given exp

tan

−1

(−1)+cos

−1

(

2

−1

)=−

4

π

+

4

3π

=

4

2π

=

2

π

.

Answer 2

Answer:

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