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Prove the following identity: sec^4theta...

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

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

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

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

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

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

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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