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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: (secthetacos e c(90^0-theta)-tanthetacot(90^0-theta)+sin^2 55^0+sin^2 35^0)/(tan10^0tan20^0tan60^0tan70^0tan80^0)

tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

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

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

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Prove that: tan20^0tan40^0tan80^0=tan60^0

Prove that tan20^0tan40^0tan80^0=tan60^0

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Without using trigonometric table, evaluate the following: (cosec^2(90-theta)-tan^2theta)/(4(cos^2 48^@+cos^2 42^@))-(2tan^2 30^@ sec^2 52^@ sin^2 38^@)/(cosec^2 70^@-tan^2 20^@

RD SHARMA ENGLISH-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)+sintheta...

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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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