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The number of values of x for which sin^...

The number of values of `x` for which `sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^(-1)(x^4-((x^8)/3+(x^(12))/9ddot)=pi/2,` where `0lt=|x|

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Given equation holds if
`x^(2) - (x^(4))/(3) + (x^(6))/(9) "…." = x^(4) - (x^(8))/(3) + (x^(12))/(9)"......" (x^(2))/(1 - ((-x^(2))/(3))) = (x^(4))/(1 - ((-x^(4))/(3)))`
On solving x = 0 , 1 , -1
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