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Prove that:((1+tan^2theta)cottheta)/(c o...

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

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Prove: ((1+cot^2theta)tantheta)/(sec^2theta)=cottheta

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Prove : (1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta

prove that tantheta+cottheta = sqrt(sec^(2)theta+cosec^(2)theta)

Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacos e c\ theta-2sinthetacostheta

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1

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

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

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

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

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

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

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  8. Prove: sqrt((1-cosA)/(1+cosA))+sqrt((1+cosA)/(1-cosA))=2\ cos e c\ A

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  9. Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)

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  10. Prove: (1-cosA)/(1+cosA)=(cotA-cos e c\ A)^2

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  11. Prove: 1/(secA-1)+1/(secA+1)=2\ cos e c\ AcotA

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  12. Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cos...

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  13. Prove: (cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A

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  14. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

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  15. Prove : (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

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  16. Prove that (cotA-cosA)/(cotA+cosA)=(cosecA-1)/(cosecA+1)

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  17. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

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  18. Prove that: (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-ta...

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  19. Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+...

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  20. Prove: tan^2A+cot^2A=sec^2A cos e c^2A-2

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