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If tantheta.tan2theta=1, then find the v...

If `tantheta.tan2theta=1`, then find the value of `sin^(2)2theta+tan^(2)2theta`.

A

`(3)/(4)`

B

`(10)/(3)`

C

`3(3)/(4)`

D

3

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 x=asec^(n)thetaandy=btan^(n)theta, then find the value of theta.

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  2. If tan^(5)thetatan^(5)5theta=1, then find the value of tan^(4)3theta.

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  3. If tantheta.tan2theta=1, then find the value of sin^(2)2theta+tan^(2)2...

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  4. If costhetacosec23^(@)=1, the value of theta is

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  5. If sin(x+y)=cos(x-y), then find the value of cos^(2)x.

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  6. If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2...

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  7. If A and B are complementary angles, find the value of sqrt((tanAtanB+...

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  8. A and B are complementary angles, then find the value of sinAcosB+cosA...

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  9. If theta is an acute angle and sintheta=costheta, then find the value ...

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  10. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

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  11. If sec(5theta-50^(@))=cosec(theta+32^(@)), then the value of theta is:...

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  12. If x=asinthetaandy=btantheta, then the value of (a^(2))/(x^(2))-(b^(2)...

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  13. If x=asinthetaandy=btantheta, then the value of (a^(2))/(x^(2))-(b^(2)...

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  14. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

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  15. Find the value of 3sin20^(@)-4sin^(3)20^(@).

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  16. Find the value of 3cos20^(@)-4cos^(3)20^(@).

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  17. If cos^(2)alpha+cos^(2)beta=2, the value of tan^(3)alpha+sin^(5)beta i...

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  18. Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)8...

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  19. Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)8...

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  20. The product cos1^(@)cos2^(@)cos3^(@)cos4^(@)......cos100^(@). Is equal...

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