In this article, I want to show you an incredible little trick for calculating cos, sin, and tan of five basic angles using just your hands. Which hand, well that's up to you, but I'll focus on using my left hand. Warning: This article contains a very bad drawing of a hand, for this, I do apologize! Ok, so let’s begin.
The Cosecant of x is positive in the first quadrant and the fourth quadrant. Cosx = Cos π 6 π 6. Cosx= Cos 2π −π 6 2 π − π 6. Cosx = Cos 11π 6 11 π 6. Therefore, the principal values of Cosx is π 6 π 6, 11π 6 11 π 6. Example 2: Find the principal value of the trigonometric function of Tanx = 1 √3 1 3.
The values of sine, cosine, tangent, and cotangent can be found using the trigonometric unit circle, which is an excellent source of information about the trigonometric functions. Graphs and properties of trig functions. Inverse trig functions. Trig Functions of Special Angles. sine 0, sine 30, sine 60, sine 90, cosine 0, cosine 30, cosine 60
The Pythagorean Identity. The relationship between right triangles and trigonometric functions of angles on the unit circle can also be used to derive a new identity. Consider the same right triangle we used above. By using the Pythagorean Theorem and the definitions of cosine and sine, we can establish a new identity.
Unit Circle Chart. Take everything you’ve seen so far: The values for the special angles, 30°, 45°, and 60°. cos = x. sin = y. tan= sin ⁄ cos. The positive and negative values for each quadrant. And put them all together. It leads to this very handy chart.
Degrees: Radian Measure: Sin: Cos: Tan : Degrees: Radian Measure: Sin: Cos: Tan: 0: 0.00000: 0.00000: 1.00000: 0.00000 : 46: 0.80285: 0.71934: 0.69466: 1.03553: 1: 0
. 407 46 77 130 94 140 206 280

cos tan sin values