when trying to find C,
why is it possible that there are two answers
2007-10-22 19:04:59 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes it is, because sinC = sin(180 - C).
Both C and 180 - C will give the same area.
2007-10-22 19:08:35 · answer #1 · answered by Dr D 7 · 1⤊ 1⤋
A = (1/2) a b sin C
sin C = 2A / (ab)
Will give sin C a positive value which means that C could be in 1st or second quadrant ie two possible values for C.
2007-10-22 19:50:39 · answer #2 · answered by Como 7 · 0⤊ 0⤋
From 0 degrees to 360 degrees, sin of an angle has positive values in the 1st and 2nd quadrants (and negative values in the 3rd and 4th quadrant).
2007-10-22 19:19:07 · answer #3 · answered by duffy 4 · 0⤊ 0⤋
certainly, the formulation for the part of a triangle is: (a million/2)ab*sin(C) the place C is the attitude between factors a and b. that is needless to say authentic for a precise attitude (and for this reason the basically right triangle) because of fact sin(C) = a million and the equation turns into the conventional one for the triangle. For acute and obtuse, you in easy terms drop the vertical and instruct it by utilizing including or subtracting the areas of two precise triangles.
2017-01-04 07:48:47 · answer #4 · answered by ? 3 · 0⤊ 0⤋
Its true, because the sine of an angle is positive in the second quadrant as well, and therefore
sin(180-x) = sin x.
2007-10-22 19:17:24 · answer #5 · answered by Rahul R 2 · 0⤊ 0⤋
sin(x) = sin(180-x)
Once you have the value of sinC, you will have 2 possible values of C (unless sinC=1, in which case C=90°).
2007-10-22 19:09:37 · answer #6 · answered by gudspeling 7 · 0⤊ 0⤋