Trigonometric Ratios and Triangle Properties

The video tutorial covers using trigonometric ratios to find missing side measures in triangles. It includes examples using tangent and cosine to solve for unknown sides and checks the validity of solutions. The tutorial also demonstrates calculating the perimeter and area of triangles, emphasizing the importance of verifying answers.

What is the primary focus of today's video?

• Solving quadratic equations

• Using trigonometric ratios to find missing side measures

• Understanding the Pythagorean theorem

• Finding missing angles in triangles

In Example 1, which trigonometric ratio is used to find the missing side?

• Tangent

• Cosine

• Sine

• Secant

What is the first step in setting up the calculator for Example 1?

• Select radian mode

• Select degree mode

• Turn off the calculator

• Reset the calculator

What is the calculated value of X in Example 1?

• 11.0

• 58.0

• 17.6

• 32.0

In Example 1, why does the solution make sense?

• The smallest angle is across from the largest side

• The medium angle is across from the medium side

• The largest angle is across from the smallest side

• The hypotenuse is the smallest side

In Example 2, which sides are used to find X?

• Opposite and hypotenuse

• All three sides

• Adjacent and hypotenuse

• Opposite and adjacent

What is the calculated value of X in Example 2?

• 17.6

• 14.09

• 11.0

• 8.0

In Example 2, why does the solution make sense?

• The smallest angle is across from the largest side

• The largest angle is across from the smallest side

• The medium angle is across from the medium side

• The hypotenuse is the smallest side

What is the task in Example 3?

• Find the hypotenuse

• Find the perimeter of the triangle

• Find the area of the triangle

• Find the missing angle

Which trigonometric ratio is used to find X in Example 3?

• Secant

• Sine

• Cosine

• Tangent