Trigonometry - Study Guide for Assignment | MATH 1060, Assignments of Trigonometry

Download Trigonometry - Study Guide for Assignment | MATH 1060 and more Assignments Trigonometry in PDF only on Docsity! Evaluating Trigonometric Functions If we have any angle, θ, in standard position with a point (x, y) on the terminal side of θ and r = √ x2 + y2 > 0, then use the following definitions to evaluate the six trigonometric functions: sin θ= y r cos θ= x r tan θ= y x , x 6= 0 cot θ= x y , y 6= 0 sec θ= r x , x 6= 0 csc θ= r y , y 6= 0 The following figure shows us the quadrants and will also help us to evaluate the functions: Quadrant II Quadrant I sin θ : + sin θ : + cos θ : − cos θ : + tan θ : − tan θ : + Quadrant III Quadrant IV sin θ : − sin θ : − cos θ : − cos θ : + tan θ : + tan θ : − Problem 1. Given the following point, which lies on the terminal side of an angle in standard position, determine the value of the six trigonometric functions of the angle, θ. (3, 4) Solution Step 1: First, find the value of r.