six Trig Functions
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Secent(sec)
r/x
2√10/2
√10
The ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
Cotangent(cot)
x/y
2/6
1/3
Dividing the length of the side adjacent to the given angle by the length of the side opposite to the given angle.
Cosecent(csc)
r/y
2√10/6
√10/3
The ratio between the hypotenuse of a right triangle of which the angle is considered part and the opposite the angle.
Find the six trig functions of (2,6). If it's a point on terminal side of an angle in standard position.
x^2+ y^2 = r^ 2
2^2+6^2=6^2
4+36=r^2
40=r^2
Cosine(cos)
x/r
2/2√10
√10/10
The length of the adjacent side divided by the length of the hypotenuse.
Tangent(tan)
y/x
6/2=3
The ratio of the opposite side to the adjacent side.
Sine(sin)
y/r
6/2√10
3√10/10
The ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse.