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3.6 Functions of Special & Quadrantal Angles

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°. Let’s fill out the rest on our chart!. b). legs are the same

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3.6 Functions of Special & Quadrantal Angles

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  1. 3.6 Functions of Special & Quadrantal Angles

  2. 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° Let’s fill out the rest on our chart! b)

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

  4. 60° start w/ short leg hyp = 2 long leg = 2 1 30° 60° Now: 1 want hyp = 1 so divide everything by 2 30° 30° 1 OR: 60° We make these triangles wherever we need to!

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

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

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

  8. Homework #306 Pg 157 #1–49 odd

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