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Prove the trigonometric identities: `(1+cotA+t a n A)(sin A-cos A)=(s e c A)/(cos e c^2A)-(cos e cA)/(sec^2A)=sinAtanA-cotAcosA`

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the trigonometric identities: 1/(secA+tanA)-1/(cosA)=1/(cosA)-1/...

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  2. Prove the trigonometric identities: If Tn=sin^ntheta+cos^ntheta, prove...

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  3. Prove the trigonometric identities: (1+cotA+t a n A)(sin A-cos A)=(s ...

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  4. If x=asectheta+btantheta and y=atantheta+bsectheta ,prove that : x^2...

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  5. If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove...

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  6. If cos e ctheta-sintheta=a^3,sectheta-costheta=b^3, Prove that : a^2b...

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  7. If acos^2theta+3acosthetas in^2theta=ma n das in^3theta+3acos^2thetas ...

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  8. If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

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  9. If acostheta+bsintheta=m and asintheta-bcostheta=n , Prove that a^2...

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  10. If costheta+cos^2theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3si...

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  11. If cottheta=15/8, then Evaluate ((2+2sintheta)(1-sintheta))/((1+costhe...

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  12. Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)...

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  13. If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1...

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  14. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

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  15. Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

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  16. Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=...

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  17. Prove the following identities: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2...

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

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

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

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