Trigonometry Problem-Solving Techniques

This video is a review of special right triangles and trigonometry, focusing on finding missing side lengths using trigonometric ratios. The instructor explains the SOHCAHTOA acronym to help remember which sides to use for sine, cosine, and tangent. Several example problems are solved, demonstrating how to apply these concepts. Students are encouraged to practice with additional problems and ensure their calculators are in the correct mode.

What topics are covered in this video tutorial?

• Algebra and calculus

• Special right triangles and trigonometry

• Physics and chemistry

• Geometry and statistics

What does the acronym SOHCAHTOA help you remember?

• The sides to use for sine, cosine, and tangent

• The order of operations

• The formulas for area and perimeter

• The types of angles in a triangle

In the acronym SOHCAHTOA, what does 'O' stand for?

• Adjacent

• Opposite

• Origin

• Hypotenuse

Which function uses the ratio of opposite over hypotenuse?

• Cosine

• Tangent

• Secant

• Sine

What is the first step in solving Example 1?

• Calculate the area

• Convert to radians

• Find the angle

• Label the sides of the triangle

What should you check on your calculator before solving trigonometry problems?

• Language settings

• Battery level

• Degree mode

• Brightness

In Example 2, what is the correct operation to perform with the tangent function?

• Divide

• Multiply

• Subtract

• Add

Why is it important to use the side you know when solving for a missing side?

• To save time

• To ensure accuracy

• To avoid using a calculator

• To simplify the problem

In Example 3, why is it risky to use a calculated side to find another side?

• It takes too long

• It might lead to errors if the first calculation is wrong

• It requires a different formula

• It is not allowed in exams

What should you do after solving for all sides of a triangle?

• Convert angles to radians

• Check if the hypotenuse is the largest side

• Recalculate all sides

• Find the area of the triangle