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Simplified expression of (sectheta+tanth...

Simplified expression of `(sectheta+tantheta)(1-sintheta)` is __________.

A

`sin^(2)theta`

B

`cos^(2)theta`

C

`tan^(2)theta`

D

`tan^(2)theta`

Text Solution

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The correct Answer is:
D
Write `secthetaand tantheta " in terms of " sinthetaand costheta`
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PEARSON IIT JEE FOUNDATION-TRIGONOMETRY-Level 1
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  3. Simplified expression of (sectheta+tantheta)(1-sintheta) is .

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  4. If a=sectheta-tantheta and b= sectheta+tantheta, then

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  6. If sin^(4)A-cos^(4)A=1,then (A//2)is .(0ltAle90^(@)).

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  8. In a DeltaABC, tan((A+C)/(2)) = .

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  9. If tan (A-30^(@))=2-sqrt3, then find A.

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  10. If sin^(4)theta-cos^(4)=k^(4), then sin^(2)theta-cos^(2)theta is .

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  11. (tan^(3)theta-1)/(tantheta-1)= .

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  12. For all values of theta,1+costheta can be.

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  13. If sin3theta=cos(theta-6^(@))," where "3theta and (theta-6^(@)) are ac...

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  14. (cosecA-sinA)(secA-cosA)(tanA+cotA) = .

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  15. Ifx=a(cosectheta+cottheta)and y=b(cottheta-cosectheta), then

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  16. The value of (cos^(4)x+cos^(2)xsin^(2)x+sin^(2)x)/(cos^(2)x+sin^(2)xc...

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  17. (1)/(1+sintheta)+(1)/(1-sintheta) is equal to .

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  18. if tan(alpha+beta)=(1)/(2) and tanalpha=(1)/(3), then tanbeta=.

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  19. The value of log sin0^(@)+log sin1^(@)+log sin2^(@)+* * *+log sin 90^(...

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  20. Which of the following is not possible?

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