You can choose either or but tangent which is sin/cos seems to be the most common way.
Yes, sine, cosine, tangent definitions are based on right triangles
Trigonometry
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
If it is a right triangle, you can use the Pythagorean Theorem. If you know the angle measures, you can use cosine/sine/tangent.
The sine and cosine were originally developed for use in surveying. They provided a way to measure the distance across lakes and around mountains. Soon they were found to be useful in navigation. The sine was used to calculate pi. When electrical measurements were made, the sine law was used. If you want to know when to use the sine and when to use the cosine, you will need to get a trig book, a physics book, an astronomy book, a sailing book, and a few other books and read them all.
Yes, sine, cosine, tangent definitions are based on right triangles
Trigonometry
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
Sine and cosine functions are used in physics to describe periodic phenomena, such as simple harmonic motion, sound waves, and alternating currents in circuits. They help in modeling phenomena that exhibit oscillatory behavior over time or space. Sine and cosine functions are also used in vector analysis to analyze the components of vectors in different directions.
Here is an 'aide memoire'. SOH, CAH, TOA. Expanding this aide. SOH ; is Sine , Oppositre, and Hypotenuse. CAH ; is Cosibe, Adjacent and Hypotenuse. TOA ; is Tangent, Opposite and Adjacent. To put these in algenraic format . Sine(angle) = opposite / hypotenuse Cosine(angle) = adjcent / hypotenuse Tangent(angle) = opposite/ adjacent. And in algenraic short-hand format. Sin(angle) = O/H Cos(angle) = A/H Tan(angle) = O/A For any given Right-angled triangle, the Hypotenuse is always the side opposite to the right angle. Taking one of the other anglers. Then the Opposite is the side length oppisite to the given angle. Then the Adjacent is the side length to the given angle. NB Taking the third angle, then the opposite(O) and the adjacent(A) ' swop places. The above three equations can all be algebraically rearranged. 'Sine' is shown, bit the other two can also be rearranged. Sin(angle) = O/H H X Sin(angle) = O [Sin(angle)] / O = H Angle = Sin(-1) [O/H] or ArcSin [O/H]. An example A right angled triangle of hypotenuse '2'. and an angle of 30 degrees. Then Sin(30) = O/2 On your calculator ; Sin(30) = 1/2 or 0.5 Substituting. 1/2 = O / 2 Algebraically rearrange O = 2 X 1/2 = 2/2 = 1/1 = 1 So the opposite side is equal to '1'. Correspondingly Sin(angle) = O/H = 1/2 Then Angle = Sin^(-1)[1/2] On your calculator, using the 'inverse/arcsin' button of Sin Then angle = 30 degrees. These work for any Trig. Functions. However, for any given value of an angle, you will have some 'horrible' decimal number. Sin(79) = 0.98167183.... usuallu shortened to 4 d.p. at 0.9817. or 6 d.p. 0.981672 Hope that helps!!!!!
Use either the Sine or Cosine rules depending on the information you know about the triangle.
If it is a right triangle, you can use the Pythagorean Theorem. If you know the angle measures, you can use cosine/sine/tangent.
The sine and cosine were originally developed for use in surveying. They provided a way to measure the distance across lakes and around mountains. Soon they were found to be useful in navigation. The sine was used to calculate pi. When electrical measurements were made, the sine law was used. If you want to know when to use the sine and when to use the cosine, you will need to get a trig book, a physics book, an astronomy book, a sailing book, and a few other books and read them all.
In statics analysis, we use the sine function when dealing with forces that are perpendicular to a reference axis, and the cosine function when dealing with forces that are parallel to the reference axis.
Yes, because all sound waves can be modelled as sine (or cosine) waves, or combinations of sine waves.
You can use your trigonometric functions (sine, cosine, and tangent).
you can use the sine, cosine, tangent formula.