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Prove the following identities: ((1+s...

Prove the following identities: `((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))`

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Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

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Prove the following trigonometric identities: (i) (1-sin^2theta)sec^2theta=1 (ii) cos^2theta(1+tan^2theta)=1

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^...

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  2. Prove the following identities: (cosA)/(1-tanA)+(sin^2A)/(sinA-cosA)=...

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

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  4. Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta...

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  5. Prove the following identities: (sin^3theta+cos^3theta)/(sintheta+c...

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  6. Prove the following trigonometric identities: (tantheta+sintheta)...

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

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  8. Prove the following identities: (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+t...

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

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

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  11. Prove the following identities: tan^2theta+cot^2theta+2=sec^2thet...

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  12. Prove the following identities: sqrt(sec^2theta+cos e c^2theta)=t...

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  13. Prove the following identities: (sintheta+sectheta)^2+(costheta+cos e...

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  14. Prove the following identities: (cos e ctheta-cottheta)^2=(1-costheta...

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

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  16. Prove the following identity: 2sec^2theta-sec^4theta-2cosec^2theta+co...

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  17. Prove the following identities: (sintheta-sectheta)^2+(costheta-cos e...

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

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  19. Prove the following identities: (tantheta-cottheta)/(sinthetacostheta...

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  20. Prove the following identities: 1/(sectheta-tantheta)=sectheta+tanthe...

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