six Trig Functions

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six Trig Functions

Sine(sin)

The ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse.

y/r

3√10/10

6/2√10

Tangent(tan)

The ratio of the opposite side to the adjacent side.

y/x

6/2=3

Cosine(cos)

The length of the adjacent side divided by the length of the hypotenuse.

x/r

√10/10

2/2√10

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

40=r^2

4+36=r^2

Cosecent(csc)

The ratio between the hypotenuse of a right triangle of which the angle is considered part and the opposite the angle.

r/y

√10/3

2√10/6

Cotangent(cot)

Dividing the length of the side adjacent to the given angle by the length of the side opposite to the given angle.

x/y

1/3

2/6

Secent(sec)

The ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

r/x

√10

2√10/2

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