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Prove the following identities: cos^4A-...

Prove the following identities: `cos^4A-cos^2A=sin^4A-sin^2A`

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Given,
LHS.
=`cos^2A(1−cos^2A) `
=`cos^2Asin^2A`[as,`sin^2A+cos^2A=1`]
RHS
...
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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
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  2. If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n show that (m^2+n^...

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  3. Prove the following identities: cos^4A-cos^2A=sin^4A-sin^2A

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  4. Prove the following identities: (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/...

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  5. If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta=ycostheta, p...

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  6. If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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