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Prove that : (1+cottheta+"cosec"theta)(...

Prove that : `(1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cottheta`

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(cottheta-cosectheta+1)/(cottheta+cosectheta-1) = ?

Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).

Prove that (cot theta+csc theta-1)/(cot theta-csc theta)=(cot theta+csc theta)(cot theta+csc theta-1)

"cosec"theta+cottheta=sqrt(3)

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

Prove that: ("cosec"theta)/("cosec"theta-1)+("cosec"theta)/("cosec"theta+1)=2sec^(2)theta

Prove that (cot theta-cos theta)/(cot theta+cos theta)=(cosec theta-1)/(cosec theta-1)

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

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  17. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

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  18. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

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  19. The value of (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta) is eq...

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  20. Eliminate alpha from x=asinalpha+bcosalphaandy=acosalpha-bsinalpha.

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