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Prove the following identities: cot^4the...

Prove the following identities: `cot^4theta+cot^2theta=cos e c^4theta-"c o s e c"^2"theta"`

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Prove the following identities: tan^2theta+cot^2theta+2=sec^2thetacos e c^2theta

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

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

Prove the following identity: 2sec^2theta-sec^4theta-2cosec^2theta+cos e c^4theta=cot^4theta-tan^4theta

Prove that cot^(4)theta+cot^(2)theta="cosec"^(4)theta-"cosec"^(2)theta

Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2theta

Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2theta

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

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  2. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

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  3. Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"...

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  4. Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta...

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  5. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  6. Prove the following identity: (1+cottheta-cos e ctheta)(1+t a ntheta+s...

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  7. Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s ...

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  8. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  9. If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+...

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  10. If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-...

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  11. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  12. Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

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  13. Prove the following identity: (cosectheta-sintheta)(s e ctheta-costhet...

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  14. Prove the following identity: cos e c\ theta(s e ctheta-1)-cottheta(1-...

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  15. Prove the following identity: (1-sin AcosA)/(cos A(s e c A-cosec A))do...

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  16. Prove the following identity: (t a n A)/(1-cot A)+(cot A)/(1-t a n A)=...

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  17. Prove the following identity: (sin^3A+cos^3A)/(sinA+cosA)+(sin^3A-cos^...

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  18. Prove the following identity: (s e c A\ s e c B+t a n AtanB)^2-(s e c ...

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

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  20. Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)...

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