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Find the value of sintheta in terms of s...

Find the value of `sintheta` in terms of `sectheta`.

A

`(1)/(sqrt(sec^(2)-1))`

B

`(sec^(2)theta)/(sqrt(sec^(2)-1))`

C

`sqrt(sec^(2)theta-1)/(sectheta)`

D

`sqrt(sec^(2)theta-1)`

Text Solution

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The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If sectheta=A, cosec theta=B, then

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  2. sin^(6)A+cos^(6)A is equal to

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  3. Find the value of sintheta in terms of sectheta.

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  4. If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the va...

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  5. Find the value of (sectheta-costheta)^(2)+(cosectheta-sintheta)^(2)-...

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  6. If (sintheta+costheta)/(sintheta-costheta)=3, then find the value of s...

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  7. If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is

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  8. If cos43^(@)=(x)/(sqrt(x^(2)+y^(2))), then the value of tan47^(@) is.

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  9. If tantheta=(x)/(y), then (xsintheta+ycostheta)/(xsintheta-ycostheta) ...

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

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

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

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  13. (2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(...

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

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

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

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

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

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

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

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