Trigonometry: Finding Sides and Angles

The video tutorial explains how to find missing sides of right angle triangles using trigonometry. It covers labeling triangle sides, using trigonometric ratios (tan, sin, cos), and provides three examples: finding the opposite side, the hypotenuse, and the adjacent side. Each example demonstrates the step-by-step process of applying the appropriate trigonometric ratio and using a calculator to find the solution.

What is the primary focus of this video tutorial?

• Understanding the Pythagorean theorem

• Finding missing angles in triangles

• Finding missing sides in right angle triangles using trigonometry

• Solving quadratic equations

Which side is opposite the right angle in a triangle?

• Base

• Hypotenuse

• Opposite

• Adjacent

What should you do first when solving a trigonometry problem?

• Draw a circle

• Label the sides

• Find the area

• Calculate the angle

In a right angle triangle, if you know one side and one angle, what type of problem is it?

• Algebra

• Geometry

• Trigonometry

• Calculus

Which trigonometric function is used when you have the opposite and adjacent sides?

• Tangent

• Secant

• Cosine

• Sine

What is the formula for finding the opposite side using tangent?

• Opposite = Sin * Hypotenuse

• Opposite = Cos * Hypotenuse

• Opposite = Tan * Adjacent

• Opposite = Adjacent / Tan

When solving for the hypotenuse using sine, what is the formula?

• Hypotenuse = Adjacent / Cos

• Hypotenuse = Sin * Opposite

• Hypotenuse = Opposite / Sin

• Hypotenuse = Tan * Adjacent

In the second example, which side was given and which was to be found?

• Given: Opposite, Find: Adjacent

• Given: Hypotenuse, Find: Opposite

• Given: Adjacent, Find: Hypotenuse

• Given: Opposite, Find: Hypotenuse

What is the formula for finding the adjacent side using cosine?

• Adjacent = Cos * Hypotenuse

• Adjacent = Hypotenuse / Cos

• Adjacent = Sin * Opposite

• Adjacent = Tan * Opposite

In the third example, which side was given and which was to be found?

• Given: Hypotenuse, Find: Adjacent

• Given: Opposite, Find: Hypotenuse

• Given: Adjacent, Find: Opposite

• Given: Hypotenuse, Find: Opposite