Exploring Trigonometric Ratios
Drag points A and B to change the angle measures and side lengths of the given triangle. Check the boxes to the right to see the trigonometric ratios of the acute angles A and B. Observe how the ratios change as you change the measurements of the triangle. Answer the questions below.
1. As an acute angle of a right triangle approaches 90 degrees, what happens to the value of the sine ratio? 2. How can we make cos(B) as large as possible? As small as possible? 3. How can we make tan(A)<1?