Home
Class 12
MATHS
If sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(...

If `sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(1+b+b^2+...)=pi/2` then find `a` and `b`

A

a = -3 and b =1

B

a = 1 and `b=-(1)/(3)`

C

a = 6 and `b=(1)/(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

(a) sin^(-1)(-1/2)=? (b) cos^(-1)(sqrt3/2)=?

sin ^ (- 1) (a- (a ^ (2)) / (3) + (a ^ (3)) / (9) + (a ^ (3)) / (9) +) + cos ^ ( -1) (1 + b + b ^ (2) +) = (pi) / (2) sin a - + ... + cos11 + b + b2 + ...

If sin(A-B)=1/2 and cos(A+B)=1/2 , find A and B.

If a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then find a-b " and " a+b

If sin(A+B)=1 and cos(A-B)=(sqrt(3))/(2) then find A and B

If sin A = (1)/(2) , cos B = 1, 0 lt A, B le (pi)/(2) then find the value of (A + B).

If sin (3A-B) = 1 and cos (2A - B) = (sqrt(3))/(2) , then the value of sin A and cos B are .

If sin^(-1)x+cos^(-1)(1)/(3)=(pi)/(2) ,then x is equal to: A) (1)/(3) B) (1)/(2) C) (pi)/(3) D) (pi)/(2)

If sin^-1 x + cos^-1(1/3) =pi/2 then x is (a) pi/2 (b) 1/3 (c) pi/3 (d) 1/2