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If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(...

If `cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5))`, then x=

A

`(44)/(117)`

B

`(125)/(117)`

C

`(24)/(7)`

D

`5/3`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. Indicate the relation which can hold in their respective domain for in...

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  2. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  3. If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5)), then x=

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  4. sin(2sin^(-1) 0.8)=

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  5. The value of cos[2 tan^(-1)(-7)] is

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  6. If 2 sin^(-1)x - cos^(-1)x = pi/2, then x is equal to

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  7. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  8. If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5pi^2)/8 then x equals

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  9. Prove that tan^(-1)(3a^(2)x-x^(3))/(a^(3)-3ax^(2))=3tan^(-1)x/a.

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  10. If 4 "sin"^(-1)x+"cos"^(-1)x=pi, then x is equal to

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  11. If "sin"^(-1)((6x)/(1+9x^2))=2 "tan"^(-1)(ax), then a=

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  12. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

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  13. The value of tan^(-1)1/3+tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is ……..

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  14. The solution of sin^(-1)x-sin^(-1)2x=pm(pi)/(3) is

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  15. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

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  16. The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 ...

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  17. If a le sin^(-1)x +cos^(-1)x+tan^(-1)x le b, then:

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  18. If a(1),a(2),a(3),….a(n) is a.p with common difference d then tan{ta...

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  19. underset(r=1)overset(infty)sum"tan"^(-1)((1)/(1+r+r^2))=….......

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  20. Prove that 2tan^(-1)(sqrt((a-b)/(a+b))tantheta/2)=cos^(-1)((acostheta+...

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