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Prove the following identities: tan^2A-t...

Prove the following identities: `tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bcos^2A)=(sin^2A-sin^2B)/(cos^2Acos^2B)` `(sinA-sinB)/(cosA+cosB)+(cosA-cosB)/(sinA+sinB)=0`

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the identity: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2Asec^2B

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  2. Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+...

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  3. Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bc...

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  4. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  5. If tantheta+sintheta=m and tantheta-sintheta=n , show that m^2-n^2= 4...

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  6. if (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB) (secC-t...

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  7. Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (...

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  8. If tan^2theta=1-a^2, prove thats e ctheta+tan^3thetacos e ctheta=(2-a^...

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  9. If a sectheta+bt a ntheta+c=0 and psectheta+qtantheta+r=0, prove that...

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  10. If sectheta+tantheta=p , show that (p^2-1)/(p^2+1)=sintheta

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  11. If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1...

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  12. Without using trigonometric tables, evaluate each of the following: (...

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  13. Without using trigonometric tables, evaluate each of the following: (s...

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  14. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthe...

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  15. Prove the trigonometric identities: sqrt((1-costheta)/(1+costheta))=co...

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  16. If sectheta=x+1/(4x) ,prove that :sectheta+tantheta=2xor ,1/(2x)

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  17. Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(cost...

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  18. If sectheta+tantheta=x , obtain the values of sectheta,t a ntheta and...

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  19. If sintheta+sin^2theta=1,find the value of cos^(12)theta+3cos^(10)t...

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  20. If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4...

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