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

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

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Prove that: (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cot theta

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta .

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)

The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) +1 is

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

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan theta +sin theta =m and tan theta -sin theta =n then prove m^2-...

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

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

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

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

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

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

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

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

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

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

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

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  13. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

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  14. Prove the following identity: (1+t a nalphat a nbeta)^2+(tanalpha-t a ...

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  15. Prove the following identity: ((1+cottheta+t a ntheta)(sintheta-costhe...

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  16. Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta...

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  17. Prove the following identity: costheta(t a ntheta+2)(2t a ntheta+1)=2s...

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  18. If sintheta=(a^2-b^2)/(a^2+b^2), find the value of t a ntheta,\ s e ct...

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  19. If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sinthet...

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  20. If cosectheta-sintheta=a^3, sectheta-costheta=b^3, then prove that a^...

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