2. The Unit circle.

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Presentation transcript:

2. The Unit circle

The Unit Circle A circle with radius of 1 Equation x2 + y2 = 1

Do you remember 30º, 60º, 90º triangles? Now they are really! Important

Do you remember 30º, 60º, 90º triangles? Now they are really! Important Even more important Let 2a = 1

Do you remember 30º, 60º, 90º triangles?

Do you remember 30º, 60º, 90º triangles?

Do you remember 45º, 45º, 90º triangles? When the hypotenuse is 1 The legs are

The Unit Circle: Radian Measures and Coordinates

How to use the unit circle We have seen already cos is the x values of the points Sin is the y values of the points There are 4 other trig functions Tangent (tan) is equal to sin/cos Cosecant (csc) is the inverse of sin Secant (sec) is the inverse of cos Cotangent (cot) is the inverse of tan

Examples sin 60° cos 270° sec 90°