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

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

A

`(y^(2)-x^(2))/(xy)`

B

`(x^(2))/(sqrt(y^(2)-x^(2)))`

C

`(x^(2))/(ysqrt(y^(2)+x^(2)))`

D

`(x^(2))/(ysqrt(y^(2)-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. Find the value of (sectheta-costheta)^(2)+(cosectheta-sintheta)^(2)-...

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

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

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

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

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

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

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

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  9. (2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(...

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

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

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

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

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

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

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

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

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

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

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

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