What Sine rules have we got? We've got [Sine-A / a = Sine-B / b = Sine-C / C], but what others have we got?

Question

I can also see, from my text book, that Sine-C x b / c = Sine-B, but what others have we got?

Answer 1

See trig identities all over the internet

Answer 2

Many, many others. See any good trigonometry textbook for examples. The rule that I use most often is:
cos D = sin a sin b + cos a cos b cos x
where D is the great circle distance between two points, a and b are the latitudes of the points, and x is the difference of their longitudes. This one is particularly easy to remember, and can quickly be banged out on a scientific calculator if you want to know how far it is from here to there.

Answer 3

sinA/a = ... for the three sides, that's all the "sin law" has to say. There are plenty of ways to move them around using algebra, but you've got the key written down.

Trignometry is full of identities with their own names like
The Law of cosines a^2 = b^2+c^2-2bc\cos A (for each angle).

Double angle:

sin2A=2sinAcosA

They go on and on. It's like a video game for math geeks!

Answer 4

Area of a triangle = (1/2)*a*b*sin(C)

where angle C is the angle between sides a and b of the triangle.

Area of a triangle = (1/2)*a*c*sin(B)
Area of a triangle = (1/2)*c*b*sin(A)

these two also work.

Answer 5

a^2(squared)=(b^2+c^2)-2bc*cos(A)

Answer 6

tan(x)=sin(x)/cos(x)

or

sin(x)=tan(x)*cos(x)