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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. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - 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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