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If tanA-tanB=x a n dcotB-cotA=y , prove...

If `tanA-tanB=x a n dcotB-cotA=y ,` prove that `cot(A-B)=1/x+1/y`

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

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

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

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

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

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