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Without using trigonometric tables, eval...

Without using trigonometric tables, evaluate each of the following: `(sec39^0)/(cos e c51^0)+2/(sqrt(3))tan17^0tan38^0tan60^0tan52^0tan73^0-3(sin^2 31^0+sin^2 59^0)`

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Without using trigonometric tables,evaluate each of the following: (2)/(3)cos ec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(0)tan37^(0)tan45^(@)tan53^(@)tan77^(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)

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

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 the following:- 2((cos58^(@))/(sin32^(@)))-sqrt(3)((cos38^(@)cos ecs2^(@))/(tan15^(@)tan60^(@)tan75^(@)))

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

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  2. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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