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If sin^(-1)x=2sin^(-1)alpha has a soluti...

If `sin^(-1)x=2sin^(-1)alpha` has a solution, then

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`-pi/22<=sin^(-1)x<=pi/2`
`-pi/2<=2sina<=pi/2`
`-pi/4<=sina<=pi/4`
`-1/sqrt2<=a<=1/sqrt2`
`|a|<=1/sqrt2`.
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then

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  2. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a...

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  3. If sin^(-1)x=2sin^(-1)alpha has a solution, then

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  4. If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equ...

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  5. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

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  6. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

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  7. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

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  8. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

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  9. Each question contains statement given in two columns. Statement a,b...

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  10. If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then th...

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  11. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

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  12. Find the range of cot^(-1)(2x-x^2)

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  13. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

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  14. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

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  15. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

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  16. The value of k(k &gt;0) such that the length of the longest interval ...

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  17. Which of the following pairs of function/functions has same graph? y=...

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  18. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

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  19. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

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  20. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

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