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Title: Trigonometric equations

Very, Very Important formula:

Trigonometric equation

Basic trigonometric equations:

Example 1:

Trigonometric equation example

Solution: We know that the Trigonometric equation solution therefore

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Example 2:

Trigonometric equation example

Solution: We know that the Trigonometric equation solution therefore

Trigonometric equation solution

Example 3:

Trigonometric equation example

Solution : We know that the Trigonometric equation solution therefore

Trigonometric equation solution

Advanced trigonometric equations

Example 4:

Trigonometric equation example

Solution:

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

Trigonometric equation solution

Step 2:  We know that  Trigonometric equation solution therefore

Trigonometric equation solution

Example 5:

Trigonometric equation example

Solution:

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

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Step 2:  We know that     and    therefore

Trigonometric equation solution

Example 6:

Trigonometric equation example

Solution

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

Trigonometric equation solution

Step 2:  We know that   therefore

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