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Prove the following identities: 2sec^2th...

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

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

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

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

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

Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=(1-t a n^8theta)/(t a n^4theta)

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

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

Prove the following identities: sqrt(sec^2theta+cos e c^2theta)=tantheta+cottheta

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

Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1=0 sin^6theta+cos^6theta+3sin^2thetacos^2theta=1 (sin^8theta-cos^8theta)=(sin^2theta-cos^2theta)(1-2s in^2thetacos^2theta)

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If (ax)/(costheta)+(by)/(sintheta)=a^2-b^2 , and (axsintheta)/(cos^2th...

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