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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 IDENTITIES-All Questions
  1. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

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  2. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

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

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  4. Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1...

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  5. Solve: (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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  6. Prove the following identities: 1/(cos e cA-cotA)-1/(sinA)=1/(sinA)-1/...

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  7. Prove the following trigonometric identities: (sintheta)/(1-costheta)=...

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  8. Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sin...

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  9. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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  10. If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2...

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  11. If tanA=ntanB and sinA=msinB, prove that cos^2A=[m^2-1]/[n^2-1]

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  12. If x=asintheta and y=btantheta, then prove that (a^2)/(x^2)-(b^2)/(y^2...

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  13. If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n show that (m^2+n^...

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

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

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  16. If xsin^3theta+ycos^3theta=sinthetacosthetaa n dxsintheta=ycostheta, ...

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

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

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

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

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