4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental trigonometric identities.

Ex 1) In the right triangle below, find the values of the 6 trig functions. θ 8 15 sin θ = csc θ = cos θ = sec θ = tan θ =cot θ =

Ex 2) Find the values of the 6 trig functions if tan θ = 3. θ sin θ = csc θ = cos θ = sec θ = tan θ =cot θ =

Ex 3) Complete the missing information function θ (deg) θ (rad)value csc √2

Ex 4) Use the given information to find the indicated trig functions. csc θ = 3sec θ = a) sin θ = b) cos θ = c) tan θ = d) sec (90º - θ) =

Ex 5) Use the trig identities to transform one side of the equation into the other. tan θ cos θ = sin θ

Ex 6) Use the trig identities to transform one side of the equation into the other.

Ex 7) Use a calculator to evaluate each function. Round your answer to 4 decimal places. a) sec 1.54 = b) cos 1.25 =

Ex 8) Find each value of θ (0 <θ ≤ 90º) in degrees and radians (0 <θ ≤ /2) without using a calculator. a) csc θ= b) sin θ =

Ex 8) Solve for x, y, or r as indicated. x 60º 38