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Prove: secA(1-sinA)(secA+tanA)=1...

Prove: `secA(1-sinA)(secA+tanA)=1`

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i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cosec"A)

Prove: sqrt((1+sinA)/(1-sinA))=secA+tanA

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: ((1+cot^2theta)tantheta)/(sec^2theta)=cottheta

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  2. Prove: (sectheta+costheta)(sectheta-costheta)=tan^2theta+sin^2theta

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  3. Prove: secA(1-sinA)(secA+tanA)=1

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  4. Prove: (cos e c\ A-sinA)(secA-cosA)(tanA+cotA)=1

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  5. Find the value of tan^2theta-sin^2theta-tan^2thetasin^2theta

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  6. Show : (1+tan^2theta)(1+sintheta)(1-sintheta) = 1

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  7. Prove: sin^2Acot^2A+cos^2Atan^2A=1

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  8. Prove the following trigonometric identities: cottheta-tantheta=(2cos...

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  9. Prove the following trigonometric identities: tantheta-cottheta=(2sin...

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  10. Prove: (cos^2theta)/(sintheta)-cos e c\ theta+sintheta=0

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  11. Prove: 1/(1+sinA)+1/(1-sinA)=2sec^2A

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

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  13. Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan...

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  14. Prove: (1+sectheta)/(sectheta)=(sin^2theta)/(1-costheta)

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  15. Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1

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  16. Prove: cos e c^6theta=cot^6theta+3cot^2thetacos e c^2theta+1

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  17. Prove that:((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

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  18. Prove: (1+cosA)/(sin^2A)=1/(1-cosA)

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  19. Prove: (secA-tanA)/(secA+tanA)=(cos^2A)/((1+sinA)^2)

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  20. Prove: (1+cosA)/(sinA)=(sinA)/(1-cosA)

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