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If tan theta +sin theta =m and tan theta...

If `tan theta +sin theta =m` and `tan theta -sin theta =n` then prove `m^2-n^2=4sqrt(mn)`

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`tan^2thetasin^2theta`
`=((sin^2theta)/(cos^2theta))(sin^2theta)`
`=(sin^4theta)/(Cos^2theta)`
`=(sin^2thetasin^2theta)/(cos^2theta)`
...
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If cot theta + cos theta = m and cot theta - cos theta = n then prove that: m^(2) - n^(2) = 4sqrt(mn)

If cos theta-sin theta=m and cos theta+sin theta=n then prove that (m^2-n^2)/(m^2+n^2)=-2sin theta cos theta

If tantheta+sintheta=m and tan theta-sin theta=n , then find the value of m^(2)-n^(2) .

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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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

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

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

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

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  6. Prove the following identity: (cosec theta - sin theta)(sec theta-cos ...

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

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  8. Prove the following identity: (1-s in AcosA)/(cos A(s e c A-cos e c A)...

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

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

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  11. Prove the following identity: (secA secB + tanA tanB)^2 - (secA tanB+ ...

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

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

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

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

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

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  17. Prove the following identity: ((1+cottheta+t a ntheta)(sin theta-costh...

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

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

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

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