3 Solve a trigonometric equation Learning Objective 1 Studen

3. Solve a trigonometric equation Learning Objective 1: Students will find analytical, graphical, and numerical solutions to equations involving transcendental functions (exponential, logarithmic, and trigonometric). a) Solve on the interval 0 b) Solve on the interval 0

Solution

5)a)

LHS = (cos/(1 + sin)) + (sin/cos) = [cos² + sin + sin²]/[cos(1 + sin)] = (1 + sin)/[cos(1 + sin)]

= 1/cos = sec = RHS

b) LHS = (1 + sec)/sec = (1 + 1/cos)/(1/cos) = (cos + 1) = RHS