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If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos...

If `sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7))`
`+tan^(-1)(-tan.(13pi)/(8))+cot^(-1)(-cot.(19pi)/(8))=(api)/(b)`, where a and b are constant, then `(a+b)` is equal to

A

17

B

20

C

23

D

26

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
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  2. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

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  3. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

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  4. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

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  5. If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6...

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  6. If a triangle is right angled at B, then the diameter of the incircle ...

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  7. In a triangle angleA=55^(@),angleB=15^(@),angleC=110^(@). Then c^(2)-a...

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  8. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  9. The value of cot^(pi)/(4)-2 cot^(-13) is

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  10. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

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  11. If cot^(-1)x-"cos"^(-1)(y)/(2)=alpha, then 4x^(2)-4xy cos alpha+y^(2)...

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  12. sin^(-1)x+sin ^(-1)""2x=(pi)/(3)

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  13. If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan....

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  14. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  15. If A = 9 tan^(-1) (sqrt2 - 1) and B = 3 sin^(-1)(1/3)+sin^(-1)(3/5) th...

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  16. If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2), then x+y+z=

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  17. The value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}

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  18. tan^(-1)1+tan^(-1)2+tan^(-1)3=

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  19. Solve tan^-1(1/(1+2x))+tan^-1(1/(1+4x))=tan^-1(2/x^2)

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  20. Solve for x : cot^(-1) sin^(-1), 1/sqrt(5) = pi/4

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