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sec(cosec^-1x) is equal to...

`sec(cosec^-1x)` is equal to

A

`cosec(sec^-1x)` for all `x in R`

B

`cosec(sec^-1x)` for `absx gt 1`

C

`absx/sqrt(x^2-1)` for `absx gt 1`

D

cotx

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The correct Answer is:
B, C
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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

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  3. sec(cosec^-1x) is equal to

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  4. The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

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  7. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

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  8. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

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  9. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

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  10. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

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  11. sum(r=1)^ntan^-1((xr-x(r-1))/(1+x(r-1)xr))=sum(r=1)^n(tan^-1xr-tan^-1x...

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  12. sum(r=1)^ntan^-1((xr-x(r-1))/(1+x(r-1)xr))=sum(r=1)^n(tan^-1xr-tan^-1x...

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  13. Arrange the followig radicals in increasing order of -I effect. 1,Br,C...

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  14. Match Column-I with Column-II

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  15. The number of values of theta in the interval (-pi/2, pi/2) such that ...

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  16. If a, b, c, d in (0, pi) and b+c ne pi/2 such that 2cosa+6cosb+7cosc+9...

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

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

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