I am a basic trigonometry learner. I have heard till now that trigonometry is all about right triangles. Please help.
http://assets.openstudy.com/updates/attachments/4fcb45c2e4b0c6963ad4f399-mandy17-1338721738166-71930792159341b491eb279077d0b514.gif I don't understand how we can get the required side lengths when this isn't a right angled triangle.
I mean, how can even trig have such things when the fundamental is to use right triangles.
I just need to know how it is used in non-right triangles. I need not find the other lengths.
Many different tools. You have the fundamental Law of Cosines, Law of Sines, and the fact that all the angles of a triangle add up to \(180\) degrees.
I mean that this isn't used in right angled triangles. How can trig be without right triangles? o.O
Trigonometry is a general study of triangles. Only a subset of trigonometry is right triangle trigonometry.
The sine/cosine rules are derived from right angled triangles. You can see a proof of the sine rule here if you are interested: http://www.youtube.com/watch?v=DsSVxuFh1WA
Get the third angle , Use the Law \[/\huge \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\]
Hmmm....I see.
Wiki has a nicer definition of trigonometry: "Trigonometry (from Greek trigōnon "triangle" + metron "measure"[1]) is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides."
sine law and cosine law are very broad o.O a lot of conditions
I just needed to know how and why it's used in non-right triangles. Thank you :)
You are welcome. :)
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