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If tan\ theta/2=cosectheta-sintheta, the...

If `tan\ theta/2=cosectheta-sintheta,` then- a.`sin^2\ theta/2=2sin^2\ 18^@` b. `cos2theta+2costheta+1=0` c.`sin\ theta/2=4sin^2\ 18^@` d. `cos2theta+2costheta-1=0`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If sintheta+sqrt(sintheta+sqrt(sintheta+sqrt(sintheta+...+oo)))=sec^4a...

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  2. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ ...

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  3. If tan\ theta/2=cosectheta-sintheta, then- a.sin^2\ theta/2=2sin^2\ 18...

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  4. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

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  5. Factors of cos4theta-cos4varphi are- a.(costheta+cosvarphi) b. \ (cos...

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  6. For the equation sin3theta+cos3theta=1-sin2theta (A) tantheta = 1 is...

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  7. If 2tan10^0+t a n 50^0=2x ,\ "tan"20^0+"tan"5060=2"y","\ "2"tan"10^0+"...

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  8. If (3-4sin^2 1)(3-4sin^2 3)(3-4sin^2 3^2)(3-4s in 62\ (3^(n-1)))=s in ...

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  9. "cosec" 10^(@) - sqrt(3) " sec" 10^(@) =

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  10. Evaluate 4\ cos\ 20^0\ -sqrt(3)\ cot\ 20^0\ =

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  11. Evaluate (2cos 40^0-cos 20^0)/(sin 20^0)=

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  12. Find the value 2 sqrt 2 sin 10^0[(s e c5^0)/2+(cos40^0\ )/(sin5^0)-2si...

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  13. sin^6theta+cos^6theta\ \ for all theta

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  14. (log)(sqrt(5))[2(s intheta-costheta)+3]\ for\ a l l\ theta

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  15. Statement I: t a n5theta-t a n3theta-t a n2theta=t a n5thetat a n3thet...

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  16. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  17. Statement I: sec^2theta=(4x y)/((x+y)^2) is positive for all real valu...

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  18. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  19. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  20. The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is a.-1//2 b. \ 1//...

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