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If x=asecthetacosvarphi,\ \ y=bsecthetas...

If `x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi` and `z=ctantheta` , show that `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(c^2)=1`

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2

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

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

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

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

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

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  7. If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)

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  8. If sintheta=3/5 , find the value of (tantheta+sectheta)^2

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  9. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta) .

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  10. If costheta=3/5 , find the value of cottheta+cos e c\ theta .

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  11. If sintheta+costheta=sqrt(2)sin(90o-theta) , determine cottheta .

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  12. If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2th...

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  13. If tantheta+cottheta=2 , find the value of tan^2theta+cot^2theta .

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  14. If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4tan^2...

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  15. If sintheta=a/(sqrt(a^2+b^2)),\ 0<theta<90o , find the values of co...

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  16. If costheta=4/5 , find all other trigonometric ratios of angle thet...

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  17. If sintheta=1/(sqrt(2)) , find all other trigonometric ratios of an...

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  18. If tantheta=1/(sqrt(2)) , find the value of (cos e c^2theta-sec^2th...

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  19. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta)

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  20. If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)

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