sin(-120)=sqrt(3)/2
cos(-120)=-1/2
tan(-120)=-sqrt(3)
csc(-120)=2/sqrt(3)
sec(-120)=-2
cot(-120)=-1/sqrt(3)
Six.
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
120 ÷ 6 = 20
They are all one-to-one as they all pass the vertical line test.
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
Six.
The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.
Sin(45 ) = 1/Sqrt(2) = 0.7071.... Cos(45) = 1/Sqrt(2) = 0.7071... Tan(45) = 0.7071.../0.7071... Cancel down = '1' Cosecant(45) = 1/Sin(45) = 1/ [1/sqrt(2) = sqrt(2) = 1.4142.... Secant (45) = 1/Cos(45) = 1/ [1/sqrt(2) = sqrt(2) = 1.4142.... Cotangent = Cos/Sin = 0.7071... / 0.7071... = 1.
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
sine, cosine, tangent, cosecant, secant and cotangent.
6 * 120 = 720
All six trigonometric functions can take the value 1.
Although you learn the trig. functions between 0 - 90 , they are a continuous 'wave'; from negative infinity to positive infinity. So you can put in any degrees value into a Sin/Cos function, and the answer will always be between '-1 & 1'. e/.g/ Sin ( 1080 ) = 0 Cosine ( 1080 ) = 1. So for 180 degrees. the sine function rises from 0 to 90 and then fall back from 90 - 180 Sine(180) = 0 . Cos (180) = -1 Tan(180) = 0 Csc180) = 1/ Sin = 1/0 ( undefined) Sec( 180) = 1/Cos = 1/-1 = -1 Cot( 180) = Cos/Sin = 1/0 ( undefined(.
120 ÷ 6 = 20
They are all one-to-one as they all pass the vertical line test.
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
to get the two sums of 120 you multiply twenty times six (20x6=120)