Q22 of 23 Page 2

Solve the equation for

OR


If prove that [CBSE 2016]

To solve for x: sin-1 x + sin-1 (1 – x) = cos-1 x


Let cos-1 x = θ


⇒ x = cos θ


We know,





We have,


sin-1 x + sin-1 (1 – x) = cos-1 x


Put cos-1 x = θ:


⇒ sin-1 x + sin-1 (1 – x) = θ



















OR









Squaring both sides:










Hence Proved

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19

If sin [cot-1 (x + 1)] = cos(tan-1 x), then find x.

OR


If (tan-1 x)2 + (cot-1 x)2 = 5π2/8 , then find x. [CBSE 2015]

 20

Solve for x :


OR


[CBSE 2016]

 21

Prove that

OR


Solve the equation for x :


[CBSE 2016]

 23

If then find the value of x.[CBSE 2017]