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

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

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (sinA)/(secA+tanA-1)+(cosA)/(cos e c\ A+cotA-1)=1

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  2. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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

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

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

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

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

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

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

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  10. If 3sintheta+5costheta=5 , show that 5sintheta-3costheta=+-3

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

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

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

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

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

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

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

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

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

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

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