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Prove that tantheta=(sintheta-2sin^3thet...

Prove that `tantheta=(sintheta-2sin^3theta)/(2cos^3theta-costheta)`

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Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (vii) (sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (vii) (sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta

Prove that : (sintheta +sin2theta)/(1+costheta+cos2theta)=tantheta

Prove the following identity: ((1+cottheta+t a ntheta)(sintheta-costheta))/(sec^3theta-cos e c^3theta)=sin^2thetacos^2theta

Prove that (cos^3theta+sin^3 theta)/(cos theta+sin theta)+(cos^3 theta-sin^3 theta)/(cos theta-sin theta)=2

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(s...

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  2. Prove the following identities: (cos e ctheta-sintheta)(sectheta-co...

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  3. Prove that tantheta=(sintheta-2sin^3theta)/(2cos^3theta-costheta)

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  4. Prove the following identities: cot^4A-1=cos e c^4A-2cos e c^2A

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  5. Prove the following identities: sin^4A+cos^4A=1-2sin^2Acos^2A

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  6. Prove the following identities: sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1...

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  7. Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

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  8. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

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

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

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

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  12. Without using trigonometric tables, evaluate each of the following: 2/...

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  13. Prove the following trigonometric identities: (i)(1-sin^2theta)sec^2...

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  14. Prove the following trigonometric identities: cos^2theta+1/(1+cot^2...

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  15. Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

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  16. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

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  17. Prove the following trigonometric identities : (1+cot^2theta)(1-cos...

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  18. If x=rsinAcosC ,\ \ y=rsinAsinC and z=rcosA , prove that r^2=x^2+y^...

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

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

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