February 03, 2011 Test Review Outline: Chapter 4 Section 4.1 1. Convert radians to degrees. 2. Convert degrees 78° to radians. Section 4.2 1. Evaluate trig functions for a given right ∆. sin θ = csc θ = cos θ = sec θ = tan θ = cot θ = 2. Find the exact value of sec θ, if tan θ = and sin θ < 0. 3. Solve for x. x 12 41° 1 February 03, 2011 Section 4.3 Use the unit circle and reference triangles to find the exact value of each. 1. cos π = 2. tan 1.5π = (1, 0) 3. sec 225° = 4. sin 11π = 6 5. cot -210° = 6. csc 5π = 3 Section 4.4 1. Write an function in the form f(x) = a sin bx for the graph below. 2 February 03, 2011 2. Give the amplitude, domain, range, period, and phase shift for the graph of Section 4.5 Solve sec x = −2.3 graphically if 0 ≤ x ≤ 2π. Section 4.6 Find values for a and h so that f (x) = 2 sin x − 4 cos x is approximated by the graph of g (x) = a sin (x − h). 3 February 03, 2011 Section 4.7 1. Know the domain and range for each of the inverse trig functions. 2. Find the exact value for each. 3. Find an algebraic expression, not involving a 4 February 03, 2011 Section 4.8 5