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Name:___________________________________ Date:________Period:_______ Chapter 8: Basic Trigonometry Topic 1: Introduction to Trigonometry DO NOW The legs of a right triangle are 18 and 24 inches. Find the hypotenuse. Trigonometry is the branch of mathematics that studies the relationship between the ______________ and _______________ of a triangle. *Trig is for __________ Triangles We will be looking at the triangle from the perspective of the given angle. (x or θ) We have to label our triangle with 3 words associated with our trig functions: ____________, ____________and ____________ The sides get labeled by their relationship with the given angle. Label the triangles below: To solve triangle problems for the lengths of sides or values of angles, we use our trig functions Recall: Soh Cah Toa Find the value for each of the trigonometric ratio. Example 1: In right triangle ABC with the right angle at C, the hypotenuse length AB=15 and measure angle A=35˚. Find leg length BC to the nearest tenth Example 2 : Find the length of x. INDEPENDENT PRACTICE Directions: Find the value of each trigonometric ratio. 1) a) Find the sin A b) Find the cos A 2) a) Find the tan A b) Find the cos A To solve for an ANGLE, we must use _______________ _______________! Example 3: In right triangle ABC, leg length BC=15 and leg length AC=20. Find angle A to the nearest degree. Directions: Find the missing side. Round to the nearest tenth if necessary. 3) 4) 5) 6) Directions: Find the measure of the indicated angle to the nearest degree. 7) 9) In right triangle ABC, leg AB = 11 and leg BC = 4.4, find the measure angle C. 8) 10) In right triangle ABC, leg AC = 10 and leg BC = 11.9, find the measure of angle A.