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If a cos(x+a)=b cos(x-a) show that (a+b)...

If a `cos(x+a)=b cos(x-a)` show that `(a+b) tan x=(a-b) cot a`

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove the following : cos(pi/16)=1/2 sqrt(2+sqrt(2+sqrt2))

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  2. If sin A=K sin B, prove the tan frac{1}{2}(A-B)=frac{K-1}{K+1 }tan ...

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  3. If a cos(x+a)=b cos(x-a) show that (a+b) tan x=(a-b) cot a

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  4. An angle theta is divided into two parts alpha, beta such that tan alp...

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  5. If sin theta +sin phi=a,cos theta+cos phi=b, show that sinfrac{theta+...

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  6. If a cosalpha+bsin alpha=c=a cos beta+b sin beta then prove that fra...

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  7. Prove that (frac{cosA+cosB}{sinA-sinB})^n+(frac{sinA+sinB}{cosA-cosB})...

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  8. If (1-e)tan^2frac{beta}{2}=(1+e)tan^2frac{alpha}{2}. prove that cosbet...

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  9. If costheta=(cosA-cosB)/(1-cosA cdotcosB) prove that one of the value...

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  10. If tan theta=(sinxcdot siny)/(cos x + cos y) then prove that one of ...

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  11. If sec(phi+alpha)+sec(phi-alpha)=2secphi show that cosphi=+-sqrt2cosfr...

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  12. If tanA+tanB=a and cotA+cotB=b then show that cot(A+B)=1/a-1/b

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  13. If cottheta=cos(x+y)andcotphi=cos(x-y) then show that tan(theta-phi)=...

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  14. If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show th...

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  15. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

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  16. If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2be...

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  17. If A+B+C=pi, then prove the following. cos2A+cos2B+cos2C+1+4cosA cdo...

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  18. If A+B+C=pi, then prove the following. sin2A+sin2B-sin2C=4cosA cdot ...

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  19. If A+B+C=pi, then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{...

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  20. If A+B+C=pi, then prove the following. sinA+sinB-sinC=4sinfrac{1}{2}...

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