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Without using trigonometric tables, eval...

Without using trigonometric tables, evaluate each of the following: `2/3cosec^2 58^0-2/3cot58^0tan32^0-5/3tan13^0tan37^0tan45^0tan53^0tan77^0`

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Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0

Without using trigonometric tables, evaluate each of the following: (sec^2 54^0-cot^2 36^0)/(cos e c^2 57^0-tan^2 33^0)+2sin^2 38^0sec^2 52^0-sin^2 45^0

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Without using trigonometric tables, evaluate the following: (sec37^0)/(cos e c53^0)+2cot15^0cot25^0cot45^0cot75^0cot65^0(sin^2 18^0+sin^2 72^0)

Evaluate : tan35^0tan40^0tan45^0tan50^0tan55^0

Without using trigonometric tables, evaluate each of the following: (-tanthetacot(90^0-theta)+secthetacos e c(90^0-theta)+sin^2 35^0+sin^2 55^0)/(tan10^0tan20^0tan30^0tan70^0tan80^0)

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Without using trigonometric tables , evaluate : ((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Without using trigonometric tables, evaluate each of the following: ...

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  2. Without using trigonometric tables, evaluate each of the following: (...

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  3. Without using trigonometric tables, evaluate each of the following: 2/...

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  4. Prove the following trigonometric identities: (i)(1-sin^2theta)sec^2...

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  5. Prove the following trigonometric identities: cos^2theta+1/(1+cot^2...

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  6. Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

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  7. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

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  8. Prove the following trigonometric identities : (1+cot^2theta)(1-cos...

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  9. If x=rsinAcosC ,\ \ y=rsinAsinC and z=rcosA , prove that r^2=x^2+y^...

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  10. If acostheta+bsintheta=m and asintheta-bcostheta=n , prove that a^2...

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  11. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

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  12. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  13. Prove the following identities: (i) costhetasin(90^o-theta)+sintheta...

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  14. Prove: (1-cos^2A)cos e c^2A=1

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  15. Prove: (1+cot^2A)sin^2A=1

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  16. Prove: tan^2thetacos^2theta=1-cos^2theta

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  17. Prove: cos e c\ thetasqrt(1-cos^2theta)=1

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  18. Prove: (sec^2theta-1)(cos e c^2theta-1)=1

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  19. Prove: tantheta+1/(tantheta)=sectheta\ cos e c\ theta

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  20. Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

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