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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`

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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: 2/3cosec^2 58^0-2/3cot58^0tan32^0-5/3tan13^0tan37^0tan45^0tan53^0tan77^0

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 each of the following: (sin^2 20^0+sin^2 70^0)/(cos^2 20^0+cos^2 70^0)+(sin(90^0-theta)sintheta)/(tantheta)+(cos(90^0-theta)costheta)/(cottheta)

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

Without using trigonometric tables, evaluate the following:- 2(cos58^@/sin32^@)-sqrt3((cos38^@cosec52^@)/(tan15^@tan60^@tan75^@))

Evaluate : tan7^0tan23^0tan60^0tan67^0tan83^0

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. If sectheta+tantheta=p , show that (p^2-1)/(p^2+1)=sintheta

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  2. If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1...

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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: (s...

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  5. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthe...

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  6. Prove the trigonometric identities: sqrt((1-costheta)/(1+costheta))=co...

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  7. If sectheta=x+1/(4x) ,prove that :sectheta+tantheta=2xor ,1/(2x)

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  8. Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(cost...

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  9. If sectheta+tantheta=x , obtain the values of sectheta,t a ntheta and...

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  10. If sintheta+sin^2theta=1,find the value of cos^(12)theta+3cos^(10)t...

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  11. If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4...

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  12. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

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  13. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

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  14. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  15. Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1...

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  16. Solve: (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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  17. Prove the following identities: 1/(cos e cA-cotA)-1/(sinA)=1/(sinA)-1/...

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  18. Prove the following trigonometric identities: (sintheta)/(1-costheta)=...

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  19. Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sin...

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  20. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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