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Prove the following identities: (1-sint...

Prove the following identities: `(1-sintheta)/(1+sintheta)=` `(sectheta-tantheta)^2`

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To prove the identity \[ \frac{1 - \sin \theta}{1 + \sin \theta} = (\sec \theta - \tan \theta)^2 \] we will start with the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS). ...
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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following trigonometric identities: (sintheta)/(1-costheta)=...

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

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

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

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

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  6. If x=asinthetaa n dy=btantheta, then prove that (a^2)/(x^2)-(b^2)/(y^2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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