Across: the Cosine
Part of the Angles and the Unit Circle section of Coddy's Trigonometry journey. Lesson 2 of 55.
The sine is the point's height. The cosine is the other coordinate, the across: how far the point is right or left of the centre. is the adjacent side divided by the radius 1, so it is the point's x coordinate. Left of the y-axis, it is negative.
So the point at θ is (, ). At 90° the point is straight up at (0, 1), so . In a triangle a cosine is never negative. On the circle it can be.
Challenge
The point has turned through 180°. Set its coordinates, cos(180°) and sin(180°). Pick a sign and a size for each.
Then press Check.
Start the lesson to read it in the interactive player and track your progress.
All lessons in Angles and the Unit Circle
1A Point on a Circle
Height on the CircleAcross: the CosineSame Height, Two AnglesRecap: Height and Across4Radians
What a Radian IsDegrees to RadiansRadians to DegreesRadians Without πTurns in RadiansRecap: Radians5Arc Length and Sector Area
Arc LengthArcs From DegreesFinding the AngleSector AreaRecap: A Slice of Pizza