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For the equation 2x=tan(2tan^(-1)a)+ 2ta...

For the equation `2x=tan(2tan^(-1)a)+ 2tan \ (tan^(-1)a+tan^(-1)a^3)` , which of the following is/are invalid? a.`"a"^2"x"+2"a"="x"` b. `"a"^2+2"a x"+1=0` c.`"a"!=0` d. `a!=-1,\ 1`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A),f...

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  3. For the equation 2x=tan(2tan^(-1)a)+ 2tan \ (tan^(-1)a+tan^(-1)a^3) , ...

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  4. The value of [tan{pi/4+1/2sin^(-1)(a/b)}]^(-1)

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

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  6. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

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  7. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-...

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  8. if 0 lt x lt 1 then tan^(-1)= sqrt(1-x^2)/(1+x^2) is equal to (i) 1/...

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  9. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  10. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

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  11. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

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  12. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

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  13. Consider two geometric progressions a1,a2,a3,......a0 & b1, b2, b3,......

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  14. The sum of the infinite terms of the series cot^(-1)(1^2+3/4)+cot^(-1)...

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  15. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen

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  16. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

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  17. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

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  18. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

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  19. sin^(-1)(sin(33pi)/7)\

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  20. cos^(-1)(cos(46pi)/7)

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