3.6 Functions of Special & Quadrantal Angles. The key  DRAW THE ANGLE & TRIANGLE!! Quadrantal angle = angle with terminal side on x- or y-axis Ex 1)

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3.6 Functions of Special & Quadrantal Angles

The key  DRAW THE ANGLE & TRIANGLE!! Quadrantal angle = angle with terminal side on x- or y-axis Ex 1) Find the exact values of the six trig functions. a) θ = 360° b) Let’s fill out the rest on our chart!

The other special/ famous angles come from special right triangles 45° legs are the same Pythag says hypotenuse is 1 1 want hyp = 1 so divide everything by 45° Now 1

60° 30° start w/ short leg hyp = 2 long leg = 1 2 want hyp = 1 so divide everything by 2 60° 30° Now:1 60° 30° 1 OR: We make these triangles wherever we need to!

Reference Angle: the acute angle formed by terminal side of θ and the x-axis You could memorize the rules Ex 2) Find the reference angle a) –390º  Or just draw a picture! b) 30°

Use the reference angle to make your triangle! Ex 3) Use reference angle & find sinθ, cosθ, & tanθ a) 150º b) 150° 30° 1 45° 1

Ex 3) Use reference angle & find sinθ, cosθ, & tanθ c) Ex 4) If 0 ≤ θ ≤ 2π, determine the values of θ for which 60° 1 30° y = sinθ is (+) in I & II draw some short △s 30° 150° Let’s tackle the rest of our unit circle & chart!

Homework #306 Pg 157 #1–49 odd