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Prove the following identities: sin^8the...

Prove the following identities: `sin^8theta-cos^8theta=(sin^2theta-cos^2theta)(1-2sin^2thetacos^2theta)`

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(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

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)

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)

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

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

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

Prove: tan^2thetacos^2theta=1-cos^2theta

Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=(1-2sin^2thetacos^2theta)/(sintheta\ costheta)

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tantheta+sectheta=e^x then costheta equals

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  2. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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