It is NOT the Law of Sines/Cosine , but the SINE / COSINE Rule.
Sine Rule is SinA/a = SinB/b = SinC/c
Where 'A' , 'B', and 'C' (Capitals) are the angular values.
and 'a', 'b' ,& 'c' (lower case) are the side lengths opposite to the given angle.
For Sine Rule, select any two terms, from the three above. This requires known values for any two angles and one side to find the other side. Or any two sides and one angle to find the other angle.
Known ; angle , angle side to find a side. or Side, side, angle to find an angle. Think 2angles x 2 sides ;
Cosine Rule. is a^(2) = b^(2) + c^(2) - 2bcCosA
This requires three known sides to find an angle. or two known sides and an angle to find the third side.
Think 1 angle x 3 sides.
If you want to simplify that, it usually helps to express all the trigonometric functions in terms of sines and cosines.
It helps, in this type of problem, to convert all trigonometric functions to sines and cosines. As a reminder, tan(x) = sin(x) / cos(x).
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To simplify such expressions, it helps to express all trigonometric functions in terms of sines and cosines. That is, convert tan, cot, sec or csc to their equivalent in terms of sin and cos.
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
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.
It helps, in this type of problem, to convert all trigonometric functions to sines and cosines. As a reminder, tan(x) = sin(x) / cos(x).
If you want to simplify that, it usually helps to express all the trigonometric functions in terms of sines and cosines.
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No. Sines are well defined trigonometric ratios whereas "this" is not defined at all.
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
To simplify such expressions, it helps to express all trigonometric functions in terms of sines and cosines. That is, convert tan, cot, sec or csc to their equivalent in terms of sin and cos.
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
Trigonometry mainly but also geometry, algebra.
It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case.
For a start, try converting everything to sines and cosines.
The ACT asks questions about basic sines, cosines, and tangents. These questions can be answered without a calculator.