Trigonometry · SEC2_GYM

Unit circle and general trigonometric functions

Question 1/8+12 XP
What is ?
Unit circleθ = 90° = π/2
-1-0.50.51-1-0.50.51xy
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true for every angle
radius = 1cos θ (horizontal)sin θ (vertical)angle θpoint P(cos θ, sin θ)
Point P on the unit circle has coordinates (cos θ, sin θ) = (0.000, 1.000). The cosine is the horizontal leg and the sine the vertical one; since the radius is 1, Pythagoras gives cos²θ + sin²θ = 1. That is why both values always stay between −1 and 1.