Consider a triangle with vertices A, B and C. Call the edge opposite a given vertex by the same letter, but lower case. So side a is opposite vertex A etc.
Law of Sines says:
SinA/a= SinB/b=SinC/c
If you prefer, you can split the equation into multiple separate ones:
SinA/a=SinB/b
Sin A/a=SinC/c etc.
(there is one more part of the law of Sines which most books leave out. If R is the radius of a circumcircle around triangle ABC, then SinA/a= SinB/b=SinC/c =2R and in case you forgot a circumcirlce of a triangle is a unique circle that passes through each of the triangle 3 vertices.)
The law of Cosines says:
a2 +b2 -2abCosC=c2
or a2 +b2 -2abCosB=b2
or a2 +b2 -2abCosA=a2
Trigonometry mainly but also geometry, algebra.
The law of cosines and sines can always be used to solve problems involving triangles, specifically when dealing with non-right triangles. The law of cosines is applicable for finding a side or angle when you know either two sides and the included angle or all three sides. The law of sines can be used when you have two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA). Both laws are essential in solving triangle problems in various applications, including navigation and physics.
Law of sines or cosines SinA/a=SinB/b=SinC/c
Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.
you must know more information. Like the lengths of 2 sides. Then using Trig (law of sines or law of cosines) you can find the remaining sides and angles.
Trigonometry mainly but also geometry, algebra.
In trigonometry sines and cosines are used to solve a mathematical problem. And sines and cosines are also used in meteorology in estimating the height of the clouds.
Use Law of Sines if you know:Two angle measures and any side length orTwo side lengths and a non-included angle measure.Use Law of Cosines if you know:Two side lengths and the included angle measure orThree side lengths.
Law of sines or cosines SinA/a=SinB/b=SinC/c
When none of the angles are known, and using Pythagoras, the triangle is known not to be right angled.
Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.
Yes. Look up the law of sines and the law of cosines as examples. there are also formulas that can find out the area of a non-right triangle.
you must know more information. Like the lengths of 2 sides. Then using Trig (law of sines or law of cosines) you can find the remaining sides and angles.
For a start, try converting everything to sines and cosines.
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. = If it's an oblique triangle, use the law of sines or cosines (see related link)
The ACT asks questions about basic sines, cosines, and tangents. These questions can be answered without a calculator.
sine: sin(A) sin(B) sin(C) cosines: a2=b2+c2-2bc cos(A).........----- = ----- = ------........,,,.a .......b........ ca is side BC A is angle A sin(A) means sine of angle Apsst, theres a law of tangents too, but its so complicated that im not gonna post it hereLaw of sine -A B C------ = ------ = ------Sin(a) Sin(b) Sin(c)