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If: sin^(-1)(1/2)= tan^(-1)x, then x=...

If: `sin^(-1)(1/2)= tan^(-1)x`, then x=

A

`(sqrt(3))`

B

`(1)/(sqrt(3))`

C

`(1)/(sqrt(2))`

D

`(-sqrt(3))`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
  1. If: sin^(-1)(1/2)= tan^(-1)x, then x=

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  2. If the equation cos3xcos^(3)x+sin3xsin^(3)x=0, then x is equal to

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  3. The values of x between 0 and 2pi which satisfy the equation sinxsqrt(...

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  4. Total number of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10" in "[0,2p...

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  5. Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

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  6. Find the total number of solution of sin^(4)x+cos^(4)x=sinxcosx" in "[...

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  7. The equation tan^4x-2sec^2x+a=0 will have at least one solution if 1<a...

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  8. If tanalpha=(1)/(2)and3cosx+4sinx=5, then x is equal to

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  9. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

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  10. In a Delta ABC, if tan.(A)/(2)=(5)/(6), tan.(B)/(2)=(20)/(37), then wh...

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  11. In a A B C ,A=(2pi)/3,b-c=3sqrt(3)c m and area ( A B C)=(9sqrt(3))/2c...

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  12. If the angles of a triangle are 30^0a n d45^0 and the included side is...

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  13. In triangleABC, If (b+c)/(11)=(c+a)/(12)=(a+b)/(13), then cosC=

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  14. The sides of a triangle are three consecutive natural numbers and its ...

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  15. If the area of the circle is A1 and the area of the regular pentagon i...

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  16. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

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  17. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

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

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

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

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

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