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Prove that cos^(2)theta + cos^(2)(alpha...

Prove that `cos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos theta* cos(alpha +theta)` is independent of `theta`.

A

`sin^(2)alpha`

B

`cos^(2)alpha`

C

`tan^(2)alpha`

D

`sec^(2)alpha`

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A
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. cos^(2)(A-B)+cos^(2)B-2cos(A-B).cosA.cosB=?

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

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

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

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

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

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

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

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  9. (1+cottheta-cosectheta)(1+tantheta+sectheta)=?

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

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

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

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

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

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  15. Which of the following is not true?

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

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

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

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

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  20. If x=sectheta-tantheta, and y=cosectheta+cottheta, then

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