In a triangle ABC, a = 2, b = 3 and tan A = √(3/5) then the value(s) of C are:

A)√(10)

B){√(10)}/2

C){3√(10)}/2

D){√(10)}/3

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- Jul 31st 2008, 05:12 AMfardeen_genIn a triangle ABC, value of angle C?
In a triangle ABC, a = 2, b = 3 and tan A = √(3/5) then the value(s) of C are:

A)√(10)

B){√(10)}/2

C){3√(10)}/2

D){√(10)}/3 - Jul 31st 2008, 03:52 PMmr fantastic
- Aug 1st 2008, 12:45 PMSoroban
Hello, fardeen_gen!

Quote:

In a triangle ABC: .

then the value of is:

Since

. . Hence: .

Law of Sines: .

. . Hence: .

Since: . ,

. . we have: .

. . . .

Law of Sines: .

. .