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In any /\ABC, prove that frac{a^2sin(B-C...

In any `/_\ABC`, prove that `frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sinB}+frac{c^2sin(A-B)}{sinC} = 0`

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In any /_\ABC , prove that [frac{a-b}{a+b}] = frac{tan(frac{A-B}{2})}{tan(frac{A+B}{2})}

With the usual notations, show that frac{asin(B-C)}{b^2-c^2} = frac{bsin(C-A)}{c^2-a^2}=frac{csin(A-B)}{a^2-b^2}

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CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. In any /\ABC, prove that asinA-bsinB = csin(A-B)

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  2. In any /\ABC, prove that [frac{a-b}{a+b}] = frac{tan(frac{A-B}{2})}{ta...

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  3. In any /\ABC, prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sin...

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  4. For /\ABC, prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA...

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  5. Prove that, for/\ABC, (b+c)cosA+(c+a)cosB+(a+b)cosC = a+b+c

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  6. In /\ABC, if sin^2A+sin^2B = sin^2C, then, show that the triangle is a...

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  7. With the usual notations, show that frac{asin(B-C)}{b^2-c^2} = frac{bs...

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  8. Show that in /\ABC, tan(frac{A}{2})tan(frac{B}{2}) = frac{a+b-c}{a+b+c...

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  9. In /\ABC, show that bcos^2(frac{C}{2})+c cos^2(frac{B}{2}) = s

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  10. Find the polar coordinates of a point whose cartesian coordinates are ...

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  11. Find the ratio of sides of a 30^@-60^@-90^@ triangle

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  12. In /\ABC, a=2, b=3 and sinA = frac{2}{3}, find B

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  13. In /\ABC, a=2, b=3, c=4, prove that the triangle is obtuse angled.

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  14. In /\ABC A = 60^@, b=3, c=8, find a

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  15. In /\ABC, A = 60^@, a=7, find circum radius

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

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  17. In /\ABC, if a=13, b=14, c=15 then find the value of: sin(frac{A}{2})

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  18. In /\ABC, if a=13, b=14, c=15 then find the value of: cos(frac{A}{2})

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  19. In /\ABC, if a=13, b=14, c=15 then find the value of: tan(frac{A}{2})

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  20. In /\ABC, if a=13, b=14, c=15 then find the value of: A(/\ABC)

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