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Prove that a sinA - b sinB = c sin(A-B...

Prove that
a sinA - b sinB = c sin(A-B)

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R.H.S = c sin (A-B)
= 2R sinC sin (A-B)
2R sin (A+B) sin (A-B)
`[therefore A + B + C = pi` or `A + B = pi - C` or sin (A + B) = sin (pi-C) sinC]
= 2R `(sin^2A - sin^2B)`
= 2R sinA sinA - 2R sinB sinB
a sinA - b sinB = L.H.S
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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Fill int the blanks choosing correct answer from the bracket. Ifa = b...

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  2. Fill int the blanks choosing correct answer from the bracket. If a =...

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  3. Prove that a sinA - b sinB = c sin(A-B)

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  4. Prove that b cosB + c cosC = a cos ( B-C)

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  5. Prove that if (a + b+ c)(b + c - a) = 3bc then A = 60^@

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  7. Prove that If A : B: C = 1: 2: 3 then sinA : sinB : sinC = 1:sqrt3...

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  8. Prove that b^2 + c^2 -a^2 = bc, then A = 60^@

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  9. Prove that If A: B: C = 1: 2: 7, then c:a =(sqrt5+1) : (sqrt5-1)

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  10. If cosA = 12/13 , cosB = 5/13, then find a:b.

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  11. If a = 7 , b= 3, c=5 then find A.

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  12. If a = 8,b=6 , C= 4 find tan B/2.

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  13. If a/(secA) = b/(secB) and a ne b then find C.

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  14. If a = 48, b= 35 ,angleC = 60^@ then find c.

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  15. In Delta ABC prove that a sin(B-C) + bsin(C-A) + c sin(A-B) = 0

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  16. In Delta ABC prove that a sin(B-C) + bsin(C-A) + c sin(A-B) = 0

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  17. In Delta ABC prove that sin(B-C)//sin(B+C) = (bcosC - c cosB)//(bcos...

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  18. In Delta ABC prove that sum a^2sin(B-C)//sin(B+C) = 0

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  19. In Delta ABC prove that a^2(cos^2B - cos^2C) + b^2(cos^2C - cos^2A) ...

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