Geometry Chapter 7 - Right Triangles and Trigonometry Section 7.5-7.6 - Apply the Sin, Cos, and Tan ratios
What the student should get from this: 1. Find the sin, cos, and tan of an acute angle 2. Use trig ratios to find side lengths in right triangles and to solve real-world problems Let’s look at some new stuff... on your calculator, find the sin, cos, and tan buttons. These are trig ratios. Sin, cos, and tan are all ratios. The sine of an angle in a right triangle is the ratio of the opposite side over the hypotenuse. sin A =
B
sin B = c a
The cosine of an angle in a right triangle is the ratio of the adjacent side over the hypotenuse. cos A =
C
cos B =
The tangent of an angle in a right triangle is the ratio of the opposite side over the adjacent side. tan A =
tan B =
Example 1: sin A =
B
sin B = 5
13
cos A = cos B =
C
12
A
tan A = tan B =
b
A