Pre-AP Pre-Calculus Chapter 4, Section 2 Trigonometric Functions of Acute Angles

Right Angle Trigonometry Similar figures: same __________, but can be different __________. If they are similar, it means their angles are _______________. If they are similar, it means their sides are ____________________.

Right Angle Trigonometry In this section, we will deal with trig and right angles in standard position. Standard position occurs when one ray is on the __________, and the other is extended in the __________ quadrant.

Definition: Trigonometric Functions Let θ be an acute angle in the right triangle ABC.

Find the exact value and the estimated value of all six trig functions for an angle of 45°

Find the exact value and the estimated value of all six trig functions for an angle of 30°

Find the exact value and the estimated value of all six trig functions for an angle of 60°

Find the value of all six trigonometric functions of the angle θ θ 7 8 θ

Use one trig ratio to find them all

Calculators & Trig functions tips Make sure your calculator is in the right mode before using trig functions. (_________ or _________). There are no buttons (keys) for sec, csc, cot. Make sure you close parentheses.

Solving a Right Triangle A right triangle with a hypotenuse of 8 includes a 37° angle. Find the measures of the other two angles and the lengths of the other two sides.

Finding the Height of a Building From a point 340 feet away from the base of the Peachtree Center Plaza in Atlanta, GA, the angle of elevation to the top of the building is 65°. Find the height of the building.

Ch. 4.2 Homework Pg. 366 – 368, #’s: 2 – 18 even, 19, 26, 32, 34, 50, 51, 62, total problems Gray book: pg. 335