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Prove: (cot^2A(secA-1))/(1+sinA)=sec^2A(...

Prove: `(cot^2A(secA-1))/(1+sinA)=sec^2A((1-sinA)/(1+secA))`

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Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=(1+secAcos e cA)^2 cot^2A((secA-1)/(1+sinA))+sec^2A((sinA-1)/(1+secA))=0

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

sqrt((1+sinA)/(1-sinA))

Prove: (secA-tanA)/(secA+tanA)=(cos^2A)/((1+sinA)^2)

Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)

Prove: sqrt((1+sinA)/(1-sinA))=secA+tanA

Prove: (cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

Prove that : sqrt((1+sinA)/(1-sinA))-sqrt((1-sinA)/(1+sinA))=2tanA

i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Prove that: (costheta)/(1-tantheta)+(sintheta)/(1-cottheta)=sintheta+costheta

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

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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  2. Prove: sec^4A(1-sin^4A)-2tan^2A=1

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  3. Prove: (cot^2A(secA-1))/(1+sinA)=sec^2A((1-sinA)/(1+secA))

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  4. Prove: sin^2Acos^2B-cos^2Asin^2B=sin^2A-sin^2B

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  5. Prove: (cotA+tanB)/(cotB+tanA)=cotAtanB

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  6. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

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  7. Prove: cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B .

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  8. Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

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  9. If 3sintheta+5costheta=5, then show that 5sintheta-3theta=+-3.

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  10. If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove ...

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  11. If cosA+cos^2A=1, find the value of sin^2A+sin^4A.

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  12. Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthet...

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  13. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

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  14. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costhe...

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  15. Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

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  16. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

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  17. If x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi and z=ctantheta , sho...

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  18. If sintheta=3/5 , find the values of other trigonometric ratios.

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  19. If cottheta=9/(40) , find the values of cos e c\ theta and sectheta...

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  20. If costheta=1/2 , find the value of (2sectheta)/(1+tan^2theta)

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