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Prove the following identities: (sinthe...

Prove the following identities: `(sintheta+cos e ctheta)^2+(costheta+sectheta)^2=7+tan^2theta+cot^2theta`

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Prove the following identities: (sintheta+sectheta)^2+(costheta+cos e ctheta)^2=(1+secthetacos e ctheta)^2

Prove the following identities: (sintheta-sectheta)^2+(costheta-cos e ctheta)^2=(1-secthetacos e ctheta)^2

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

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

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

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

Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1+costheta)=secthetacos e ctheta+cottheta

Prove the following identities: (sin^3theta+cos^3theta)/(sintheta+costheta)+sinthetacostheta=1

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

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

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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