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Prove that: cotA+"cot"(60^0+A)-cot(60^0-...

Prove that: `cotA+"cot"(60^0+A)-cot(60^0-A)=3cot3A`

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To prove that: \[ \cot A + \cot(60^\circ + A) - \cot(60^\circ - A) = 3 \cot 3A \] we will start with the left-hand side (LHS) and simplify it step by step. ...
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RD SHARMA-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-Solved Examples And Exercises
  1. If t a n^2theta=2tan^2phi+1 , prove that cos2theta+sin^2phi=0.

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  2. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2 cos2^(n-1...

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  3. Prove that: cotA+"cot"(60^0+A)-cot(60^0-A)=3cot3A

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  6. Find the values of cospi/8

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  9. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2 cos2^(n-1...

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  10. Prove that: cos(pi/7)cos((2pi)/7)cos((4pi)/7)=-1/8,

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  11. If alpha and beta are distict roots of acostheta+b sintheta=c , prov...

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  12. sin^2(A/2+pi/8) - sin^2(A/2-pi/8)= 1/sqrt(2)sinA

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  13. Sin 4A = 4 cos^3 A sin A - 4 sin^3 A cos A

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  14. If tanA=1/7a n dtanB=1/3 , show that cos2A=sin4Bdot

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  15. If 2t a nalpha/2=tan(beta/2) , prove that cosalpha=(3+5cosbeta)/(5+3c...

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  16. If acos2theta+bsin2theta=ch a salphaa n dbeta as its roots , then prov...

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  17. If cosalpha+cosbeta=0=sinalpha+sinbeta, then prove that cos2alpha+cos2...

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  18. Prove that: sin((pi)/5)sin((2pi)/5)sin((3pi)/5)sin((4pi)/5)=5/(16)

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  19. sin5theta =

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  20. Prove that: sin^4(pi/8)+sin^4((3pi)/8)+sin^4((5pi)/8)+sin^4((7pi)/8)=...

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