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The trigonometric equation sin^-1x=2sin^...

The trigonometric equation `sin^-1x=2sin^-1 2a` has a real solution if

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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 PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The value of cot(sum(n=1)^(23)cot^-1(1+sum(k=1)^n2k)) is

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  3. The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

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  4. If f(x)=x^(11)+x^9-x^7+x^3+1 and f(sin^(-1)(sin8))=alpha,alpha is cons...

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

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

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

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  10. In an AP given a = 5, d = 3, an = 50, Find n and Sn of that AP.

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  11. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

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

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  13. Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6; sin^(-...

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  14. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

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

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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, then the possible values of n i...

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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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