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If 2Tan^(-1)(cosx)=Tan^(-1)(2cosecx) the...

If `2Tan^(-1)(cosx)=Tan^(-1)(2cosecx)` then x =

A

`pi//4`

B

`pi//6`

C

`pi//2`

D

No solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. A solution of the equation Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//2 is

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  2. Sin^(-1)x-Cos^(-1)x=Sin^(-1)(3x-2),"if "xgt0 then x =

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  3. If 2Tan^(-1)(cosx)=Tan^(-1)(2cosecx) then x =

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  4. tan(Cos^(-1)1//x)=sin(Cot^(-1)1//2),"if "xne0 then x =

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  5. The value of x where xgt0andtan(Sec^(-1)(1/x))=sin(Tan^(-1)2) is

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  6. If Sin^(-1)((2a)/(1+a^(2)))+Sin^(-1)((2b)/(1+b^(2)))=2Tan^(-1)x, then ...

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  7. If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4, then x =

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  8. If Tan^(-1)((x+1)/(x-1))+Tan^(-1)((x-1)/x)=pi+Tan^(-1)(-7), then x =

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  9. If 3Tan^(-1)(1/(2+sqrt3))-Tan^(-1)(1/x)=Tan^(-1)(1/3), then x =

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  10. If "Cot"^(-1)4/3+"Cot"^(-1)5/3=Tan^(-1)k, then k =

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  11. If "Sec"^(-1)1/(sqrt(1-x^(2)))+"Cot"^(-1)(sqrt(1-x^(2)))/x=Sin^(-1)k, ...

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  12. If Cos^(-1)x=Cot^(-1)(4//3)+Tan^(-1)(1//7) then x =

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  13. If Sin^(-1)(3//5)+Sin^(-1)(5//13)=Sin^(-1)x, then x =

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  14. If "Cos"^(-1)3/5-"Sin"^(-1)4/5=Cos^(-1)x then x =

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  15. If Sin^(-1)(3/x)+Sin^(-1)(4/x)=pi/2 then x =

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  16. If Cot^(-1)x+Sin^(-1)(1//sqrt5)=pi//4, then the value of x is

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  17. If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

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  18. If Tan^(-1)(secx+tanx)=pi//4+kx then k =

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  19. Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan...

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  20. If 1/2Sin^(-1)[(3Sin2theta)/(5+4cos2theta)]=Tan^(-1)x, then x =

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