Trigonometric Equations

Very, Very Important formula:

Basic trigonometric equations:

Example 1:

Solution: We know that the therefore

Example 2:

Solution: We know that the therefore

Example 3:

Solution : We know that the therefore

Advanced trigonometric equations

Example 4:

Solution:

Step 1: To solve for x, you must first isolate the sine term.

Step 2: We know that therefore

Example 5:

Solution:

Step 1: To solve for x, you must first isolate the tangent term.

Step 2: We know that and therefore

Example 6:

Solution

Step 1: To solve for x, you must first isolate the cosine term.

Step 2: We know that therefore