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If sinB=3sin(2A+B) ,prove :2tanA+tan(...

If `sinB=3sin(2A+B) ,prove :2tanA+tan(A+B)=0.`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If tanA-tanB=x a n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

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  2. If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that...

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  3. If sinB=3sin(2A+B) ,prove :2tanA+tan(A+B)=0.

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  4. If 2tanbeta+cotbeta=tanalpha , prove that cotbeta=2tan(alpha-beta)dot

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  5. If the system of linear equations x=cy+bz, y=az+cx,z=bx+ay has a non t...

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  6. Prove that: tan3Atan2AtanA=t a n3A-tan2A-t a n A cot Acot2A-cot2Aco...

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  7. Prove that: sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt(2)sinA

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  8. Prove that: sin^2A=cos^2(A-B)+cos^2B-2cos(A-B)cosAcosBdot

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  9. If 3t a n At a n B=1, prove that 2cos(A+B)=cos(A-B)dot

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  10. Prove that: tan75^0+cot75^0=4

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  11. If alphaa n dbeta are the solutions of acostheta+bsintheta=c , then ...

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  12. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

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  13. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

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  14. If t a n(pi//4+theta)+t a n(pi//4-theta)=a , then t a n^2(pi//4+theta...

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  15. If t a n x+tan(x+pi/3)+tan(x+(2pi)/3)=3, then prove that (3tanx-t a n^...

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  16. If theta lies in the first quadrant and costheta=8/(17) , then prove t...

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  17. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

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  18. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

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  19. If A+B=pi/4 , prove that: (1+t a n A)(1+t a n B)=2 (cotA-1)(cot...

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  20. Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-c...

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