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If sin61^(@)=(a)/(sqrt(a^(2)+b^(2))), th...

If `sin61^(@)=(a)/(sqrt(a^(2)+b^(2)))`, then find the value of `tan61^(@)+tan29^(@)`.

A

`(a)/(b)`

B

`((a+b)^(2))/(ab)`

C

`(a)/(b)+1`

D

`(a)/(b)+(b)/(a)`

Text Solution

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The correct Answer is:
D
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If tantheta=(x)/(y), then (xsintheta+ycostheta)/(xsintheta-ycostheta) ...

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  2. Find the value of ((1)/(costheta)+(1)/(cottheta))((1)/(costheta)-(1)/(...

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  3. If sin61^(@)=(a)/(sqrt(a^(2)+b^(2))), then find the value of tan61^(@)...

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  4. If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@)...

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  5. (2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(...

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  6. If cosec39^(@)=x, then the value of (1)/(cosec^(2)51^(@))+sin^(2)39^...

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  7. Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))

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  8. The value of (cos^(3)20^(@)-cos^(3)70^(@))/(sin^(3)70^(@)-sin^(3)20^(@...

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  9. The value of (cos^(n)38^(@)-cot^(n)52^(@))/(sin^(n)52^(@)-tan^(n)38^(@...

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  10. The value of (cot^(n)29^(@)-cot^(n)61^(@))/(tan^(n)61^(@)-tan^(n)29^(@...

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  11. If x=tan15^(@), then find the value of x^(2)+(1)/(x^(2)).

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  12. If x=cot75^(@), then find the value of sqrt(x)+(1)/(sqrt(x)).

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  13. If tan(A+B)=(1)/(2),tan(A-B)=(1)/(3), then find the value of tan2A.

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  14. If tan(A+2B)=(1)/(2),tan2(A-B)=(1)/(3), then find the value of angleA.

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  15. If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), then find the minimum positive...

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  16. If sin(x+y)=1andtan(x-y)=(1)/(sqrt(3)), then the value of sinx+tany is...

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  17. If sinA+cosA=(3)/(5), then find the value of sinA-cosA.

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  18. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

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  19. If cosec^(2)theta+cot^(2)theta=(5)/(7), then find the value of cosec^(...

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  20. If secx+tanx=a, then find the value of sinx.

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