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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)` +`cos(40^0+theta)-sin(50^0-theta)+(cos^2 40^0+cos^2 50^0)/(sin^2 40^0+sin^2 50^0)`

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(2cos 40^0-cos 20^0)/(sin 20^0)=

(sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + [ (sin (90^(@) - theta).sin theta)/(tan theta) + (cos (90^(@) - theta).cos theta)/(cot theta) ] .

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: (-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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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1...

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

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

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

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

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

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

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

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  11. If cottheta+tantheta=x and sectheta-costheta=y , prove that (x^2y)^(...

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

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

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

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  15. Find (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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

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

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

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

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  20. If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2...

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