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If x gt 0, then the value of sin{tan^-1(...

If `x gt 0`, then the value of `sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(1+x^2))}` is equal to

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. If a, b, c, d in (0, pi) and b+c ne pi/2 such that 2cosa+6cosb+7cosc+9...

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  2. The value of 1/2{sec^2(tan^-1 2)+cosec^2(cot^-1 3)+tan^2(pi/3)} is equ...

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  3. If x gt 0, then the value of sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(...

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  4. If cos^-1(x/2)+sin^-1(x/4)=pi/6, then the value of x is

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  5. Solve: cos^4(x/5)+sin^2(x/5)=1

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  6. Solve: abscot(2x-pi/2)=1/(cos^2 2x)-1

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  7. Solve: 2cos^2x+5cosx+2 ge 0

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  8. Find the points of intersection of the curves y=cosx and y=sin3x if -p...

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  9. Solve for x and y : 2^(1/cos^2x)sqrt(y^2-y+1//2) le 1

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  10. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A), for 0 ...

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  11. Solve: sin^-1x+sin^-1(1-x)=cos^-1x

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  12. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

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  13. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

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  14. The number of distinct solutions of the equation 5/4cos^2 2x+cos^4x+si...

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  15. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

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  16. Let, tan^-1y=tan^-1x+tan^-1((2x)/(1-x^2)), where absx lt 1/sqrt3. Then...

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  17. The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

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  18. The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

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  19. The number of distinct roots of abs((sinx, cosx, cosx),(cosx, sinx, co...

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

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