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In /\ABC, prove that cot(frac{A}{2})+cot...

In `/_\ABC`, prove that `cot(frac{A}{2})+cot(frac{B}{2})+cot(frac{C}{2}) = frac{a+b+c}{b+c-a}cot(frac{A}{2})`

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CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. In /\ABC, if a=13, b=14, c=15 then find the value of: A(/\ABC)

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  2. In /\ABC, if a=13, b=14, c=15 then find the value of: sinA

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  3. In /\ABC, prove that cot(frac{A}{2})+cot(frac{B}{2})+cot(frac{C}{2}) =...

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  4. Find the principal values of the following: sin^-1(frac{1}{sqrt2})

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  5. Find the principal values of the following: cos^-1(frac{sqrt3}{2})

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  6. Find the principal values of the following: cot^-1(frac{1}{sqrt3})

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  7. Find the principal values of the following: sec^-1(2)

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  8. Find the principal values of the following: cosec^-1(sqrt2)

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  9. Find the principal values of the following: tan^-1(-1)

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  10. Find the value of the following: sin^-1(sin(frac{5pi}{3}))

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  11. Find the value of the following: sin(cos^-1(frac{-1}{2}))

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  12. Find the value of the following: tan^-1(tan(frac{pi}{4}))

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  13. Find the value of the following: sin(cos^-1(frac{4}{5})+tan^-1(frac{5}...

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  14. Find the value of the following:sin(sin^-1(frac{3}{5})+cos^-1(frac{3}{...

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  15. Find the value of the following: cos(cos^-1(-frac{1}{2})+tan^-1(sqrt3...

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  16. Prove the following: 2tan^-1(frac{1}{3})+cos^-1(frac{3}{5}) = frac{pi}...

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  17. Prove the following: 2tan^-1(frac{1}{3}) + tan^-1(frac{1}{7}) = frac{p...

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  18. Prove the following: tan^-1 1+tan^-1 2+tan^-1 3 = pi

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  19. Prove the following: cos^-1(frac{4}{5})+cos^-1(frac{12}{13}) = cos^-1(...

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  20. Prove the following: sin^-1(frac{8}{17})+sin^-1(frac{3}{5}) = sin^-1(...

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