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Prove that : (1+sintheta)/(costheta)+(...

Prove that : `(1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta`

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Prove that (Sintheta)/(1+Costheta)+(1+Costheta)/(Sintheta)=2"Cosec"theta

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

prove that- (sintheta+1-costheta)/(costheta-1+sintheta)=(1+sintheta)/costheta

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Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

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NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : sin^(4)theta-cos^(4)theta=2sin^(2)theta-1

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  2. Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) ...

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  3. Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2secthe...

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  4. Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec...

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  5. Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (...

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  6. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

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  7. Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

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  8. Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cott...

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  9. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

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  10. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

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  11. Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

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  12. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  13. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

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  14. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

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  15. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

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  16. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

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  17. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

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  18. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2 "cosec...

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  19. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

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  20. यदि (coalpha)/(cosbeta)=n और (cosalpha)/(cosbeta)=m, है तो cos^(2)bet...

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