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If sintheta+cosectheta=2, then sin^(2)th...

If `sintheta+cosectheta=2`, then `sin^(2)theta+cosec^(2)theta` is equal to

A

1

B

4

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)
  1. If sintheta+cosectheta=2, then sin^(2)theta+cosec^(2)theta is equal to

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  2. If f(x)=cos^(2)x+sec^(2)x, then

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  3. If tantheta=(1)/(2)andtanphi=(1)/(3), then the value of theta+phi is

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  4. Which of the following is not correct?

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  5. The value of tan1^(@) tan2^(@) tan 3^(@)…..tan89^(@) is

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  6. The value of (1-tan^(2)15^(@))/(1+tan^(2)15^(@)) is

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  7. The value of cos1^(@)cos2^(@)cos3^(@)…..cos179^(@) is

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  8. If tantheta = 3andtheta lies in third quadrant, then the value of sint...

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  9. The value of tan75^(@)-cot75^(@) is

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  10. Which of the following is correct?

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  11. If tanalpha=(m)/(m+1)andtanbeta=(1)/(2m+1) then (alpha+beta) is equal ...

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  12. The minimum value of 3cosx+4sinx+8 is

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  13. The value of tan3A-tan2A-tanA is

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  14. The value of sin(45^(@)+theta)-cos(45^(@)-theta) is

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  15. The value of cot((pi)/(4)+theta)cot((pi)/(4)-theta) is

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  16. cos2thetacos2phi+sin^(2)(theta-phi)-sin^(2)(theta+phi) is equal to

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  17. The value of cos12^(@)+cos84^(@)+cos156^(@)+cos132^(@) is

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  18. If tanA=(1)/(2)andtanB=(1)/(3), then tan(2A+B) is equal to

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  19. The value of sin""(pi)/(10)sin""(13pi)/(10) is

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  20. The value of sin50^(@)-sin70^(@)+sin10^(@) is

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