Unit Circle Evaluating Trig Inverse Trig Leo Donovan

Unit Circle, Evaluating Trig. & Inverse Trig Leo, Donovan, Luis, Natalie

Tips for Memorizing the Unit Circle: a. For Coordinates i. The Finger Trick ii. All coordinates are over 2 iii. Looking at the points on the outside, the numerators follow a set pattern 1. (1, √ 2, √ 3…) b. For Radians i. The denominators follow a set pattern 1. (6, 4, 3…)

Trig. Functions ● sin (x) ● tan (x) ● cos (x)

How to Evaluate Trig. Functions 1. Locate the angle on the unit circle (Ex. π/6) 2. Find its corresponding coordinate (√ 3/2, ½) 3. Depending on your function: a. sin = y b. cos = x c. tan = y/x

How to Evaluate Trig. Functions Ex. 1: sin (11π/6) Ex. 2: cos (5π/6) Ex. 3: tan (2π/3)

Inverse Trig. Functions ● sin-1 (x)/arcsin (x) ● tan-1 (x)/arctan (x) ● cos-1 (x)/arccos (x)

● sin-1(x)=arcsin(x) ● cos-1(x)=arccos(x) ● tan-1(x)=arctan(x)

How to Evaluate Inverse Trig. Functions 1. Depending on your function: a. sin = y b. cos = x c. tan = y/x 2. Locate the coordinate on the unit circle 3. Find its corresponding angle

How to Evaluate Inverse Trig. Functions Ex. 1: Ex. 2: arcsin (√ 3/2) = ? arctan (√ 3/3) = ? = π/3 = π/6

How to Evaluate Inverse Trig. Functions Ex. 3: arccos (½) Ex. 4: arctan (√ 3)

Additional Resources https: //quizizz. com/admin/quiz/58 bec 3 f 837 e 63813188 e 4 c 5 c/evaluate-trigfunctions-on-the-unit-circle https: //www. thatquiz. org/tq-q/math/trigonometry/ https: //www. codecogs. com/latex/eqneditor. php