Why do we use the unit radians instead of degrees?
Radians are commonly applicable to all circles. The use of radians allows us to formulate
a better relationship between angle and linear equations to determine certain ratios and triangles.
Radians are dimensionless, which means that they can be treated just as numbers.
Radians give a very natural description of an angle whereas the idea of 360 degrees
making a full rotation is very uninformed. The trigonometric functions have very simple
derivatives when radians are used. This leads to other benefits, such as convenient series of
expressions for the trigonometric functions.
Is it always better to use radians? Why or why not?
Yes, it is better to use radians. With radians, there are other applications that make math
easier, but this is probably the easiest to see.
Why do we use trigonometric ratios?
Trigonometric ratios are used to calculate the measures of the acute angles in a right
triangle if you know the lengths of two sides of the triangle. The most common three
trigonometric ratios are sine, cosine, and tangent. Trigonometry has applications in calculating
finding paths in motion, distances, and studying waves.
Trigonometry most use is in measuring the heights of mountains, towers, or buildings.
Heights of tall towers can easily be found using trigonometry, if you want to find the height of a
tower by measuring the horizontal distance from the base of the tower and find the angle of
elevation to the top of the tower using a sextant. Also, trigonometry used on construction sites,
astronomy, architecture, and more, (Geeks for Geeks, 2021)
References:
What are some real life applications of trigonometry? GeeksforGeeks. (2021, December 20).
Retrieved May 28, 2022, from https://www.geeksforgeeks.org/what-are-some-real-lifeapplications-of-trigonometry/