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(cot^(2)""(theta)/(2)-tan^(2)""(theta)/(...

`(cot^(2)""(theta)/(2)-tan^(2)""(theta)/(2))/(cottheta.cosectheta)=?`

A

1

B

`-4`

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7...

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  2. cos^(2)(A-B)+cos^(2)B-2cos(A-B).cosA.cosB=?

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  3. (cot^(2)""(theta)/(2)-tan^(2)""(theta)/(2))/(cottheta.cosectheta)=?

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  4. Prove that cos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos th...

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  5. If sin theta =3 sin ( theta + 2 alpha), then the value of tan (theta...

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  6. If tanx+secx=2cot(90^(@)+x), then cosecx=?

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  7. If (1)/(cosectheta+cottheta)-cosectheta-tantheta=3ksecthetacosectheta,...

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  8. If tantheta=(11)/(13), then find (5sintheta-3costheta)/(5sintheta+2cos...

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  9. If 7sin^(2)theta+3cos^(2)theta=4, then value of tantheta.

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  10. (1+cottheta-cosectheta)(1+tantheta+sectheta)=?

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  11. (cosec-sinx)(secx-cosx)(tanx+cotx)=?

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  12. ((cottheta)/(cottheta-cot3theta)+(tantheta)/(tantheta-tan3theta))=?

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  13. "(cotA+cosecA-1)"/"(cotA-cosecA+1)"=?

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  14. (sintheta+sin2theta)/(1+costheta+cos2theta)=?

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  15. For which values of x between 0and2pi, then 2cosec2x cot x-cot^(2)x=1 ...

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  16. Which of the following is not true?

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  17. If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positiv...

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  18. i) Prove that: (1-sin2A)/(1+sin2A) = tan^(2)(pi/4-A) ii) If costheta...

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  19. If tantheta=(4)/(3), then sintheta=?

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  20. Prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA).

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