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Prove that (cos 7x+cos 5x)/(sin7x-sin 5x...

Prove that `(cos 7x+cos 5x)/(sin7x-sin 5x)=cotx`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamm...

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  2. prove sin alpha+sin(alpha+(2pi)/3)+sin (alpha+(4pi)/3)=0

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  3. Prove that (cos 7x+cos 5x)/(sin7x-sin 5x)=cotx

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  4. if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7...

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  5. find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (thet...

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  6. sin^3x.sin3x=underset(mrarr0)(oversetnsumCmcosmx is an identity in x,w...

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  7. Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms

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  8. Find theta if sin theta -cos theta lt0

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  9. Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)

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  10. Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...

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  11. Find the maximum and minimum of 3sin 2x+4 cos 2x+3

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  12. Prove that -4le5cos theta +3 cos (theta+pi/3)+3le10 for all values of...

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  13. Find the maximum value of1+sin(pi/4+theta)+2cos(pi/4-theta) for all re...

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  14. Find cos(alpha+beta) if tan(alpha/2) and tan (beta/2) are roots of the...

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  15. If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove...

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  16. IfA+B+C=180^@then prove that sin( A/2)+sin( B/2)+sin( C/2) = 1+4 sin...

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  17. If x+y+z=xyz then prove that (3x-x^3)/(1-3x^2)+(3y-y^3)/(1-3y^2)+(3z-z...

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  18. Simplify the product cos A cos 2A cos2^2A……cos2^(n-1)A

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  19. Prove that the value of underset(r=0)overset10sum cos^3((rpi)/3) is eq...

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  20. If sinx+cosx=m and secx+cosecx=n prove that n(m^2-1)=2m

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