Trigonometric Word Problems

In these lessons, examples, and solutions we will learn the trigonometric functions (sine, cosine, tangent) and how to solve word problems using trigonometry.

The following diagram shows how SOHCAHTOA can help you remember how to use sine, cosine, or tangent to find missing angles or missing sides in a trigonometry problem. Scroll down the page for examples and solutions.

SOHCAHTOA

How To Solve Trigonometry Problems Or Questions?

Step 1: If no diagram is given, draw one yourself.
Step 2: Mark the right angles in the diagram.
Step 3: Show the sizes of the other angles and the lengths of any lines that are known.
Step 4: Mark the angles or sides you have to calculate.
Step 5: Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
Step 6: Decide whether you will need the Pythagorean theorem, sine, cosine or tangent.
Step 7: Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.


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