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Prove that t a n A+2t a n2A+4t a n4A+8co...

Prove that `t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4 and 10.

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  2. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

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  3. Prove that t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot

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  4. sum(r=1)^(n-1)cos^2((rpi)/n)

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  5. Prove that: (1+sec2theta)(1+sec4theta)(1+sec8theta)(1+sec2^ntheta)=t a...

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  6. To find sum of tangents of a series of angles, the angles being in Ari...

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  7. S=cosecx+cosec 2x+cosec 4x+…+cosec 2nx=cot(x/2)−cot2nx

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  8. The expression (tan(x-pi/2)cos((3pi)/2+x)-sin^3((7pi)/2-x))/(cos(x-pi/...

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  9. The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal t...

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  10. The expression (sin 22^0cos8^0+cos 158^0cos98^0)/(sin 23^0cos7^0+cos 1...

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  11. The two legs of a right triangle are sin theta +sin ((3pi)/2-theta) an...

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  12. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

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  13. The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-...

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  14. (The tangents of two acute angles are 3 and 2, The sine of twice their...

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  15. Exact value of cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ is- a.1 b. 1/(...

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  16. If cos(theta+phi)=mcos(theta-phi) ,then tantheta is equal to a.((1+m)...

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  17. If sintheta+cosectheta=2 , then the value of sin^8theta+cosec^8theta i...

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  18. If the expression 4sin5alphacos3alphacos2alpha s expressed as the ...

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  19. find the value of the expression 3[sin^4(3pi/2-alpha)+sin^4(3pi+alph...

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  20. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

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