Module 5: Trigonometry Applications and Identities

 

In Try This 4 you may have noticed that using the Pythagorean identity, sin2 x + cos2 x = 1, allows you to rewrite This equation now contains only sines and can be solved using a factoring strategy you learned in Module 4. A complete solution to this problem is shown.

 

 

 

 

 

Solving Equations Using Identities shows how an equation can be solved with the help of a double-angle identity.

 

 

This play button opens Solving Equations Using Identities.

 

When solving an equation using an identity, it is important to check for non-permissible values in the original equation. If a non-permissible value shows up as a solution, the value cannot be included.

 

Self-Check 4

 

textbook

  1. Complete “Your Turn” from “Example 4” on page 320 of the textbook. Answer
  2. Complete questions 1.a., 1.d., 2.c., 3.c., 6, 8, and 10 on pages 320 and 321 of the textbook. Answer