Trigonometric Ratios & the Unit Circle
Angle θ45°
sin θ (height)0.707
cos θ (width)0.707
tan θ = sin/cos1.000
Quadrant1
- Make sin θ = 1 (put the point at the very top)
- Put the angle in the second quadrant
- Make cosine negative while sine stays positive
- Find an angle where sin θ = cos θ (so tan θ = 1)
- Set the angle so that sin θ = 0.5