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Prove the following identities: (costhe...

Prove the following identities: `(costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta`

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(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1+costheta)=secthetacos e ctheta+cottheta

Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta)/(sintheta-costheta)=1+sinthetacostheta

Prove the following identity: (costheta)/(1-sintheta)=(1+costheta+sintheta)/(1+costheta-sintheta)

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: (cos e ctheta-sintheta)(sectheta-cost...

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  2. Prove the following identities: (1-costheta)/(1+costheta)=(cos e cthe...

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  3. Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1...

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  4. Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(s...

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

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

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

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

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

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

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

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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: ...

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

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

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

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

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

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

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

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