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Without using trigonometric tables, eval...

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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Evaluate: (sec theta csc(90^(0)-theta)-tan theta cot(90^(0)-theta)+sin^(2)55^(0)+sin^(2)35^(@))/(tan10^(0)tan20^(0)tan60^(@)tan70^(0)tan80^(0))

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 table, the value of cotthetatan(90^(@)-theta)-sec(90^(@)-theta)"cosec"theta+sin^(2)65^(@)+sin^(2)25^(@)+sqrt3tan5^(@)tan85^(@) .

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 the following : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot40^(@))/(tan50^(@))-(cos^(2)20+cos^(2)70^(@))

Without using trigonometric tables,evaluate each of the following: (sec39^(0))/(cos ec51^(0))+(2)/(sqrt(3))tan17^(0)tan38^(@)tan60^(@)tan52^(@)tan73^(@)-3(sin^(2)31^(0)+sin^(2)59^(@))

Without using trigonometric tables,evaluate each of the following: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

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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: ...

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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: 2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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