Use your trig identities to find the missing values of a triangle

The video tutorial explains how to solve a triangle problem by finding missing angles and side lengths. It begins with setting up the problem, identifying given angles, and calculating the missing angle using the sum of angles in a triangle. The tutorial then demonstrates how to use trigonometric properties, specifically tangent and sine, to find the missing side lengths. The process involves solving equations and using a calculator for precise results. The tutorial concludes with a summary of the steps taken to solve the problem.

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If angle B is 71 degrees and side b is 24, what is the value of angle A?

• 19 degrees

• 71 degrees

• 90 degrees

• 89 degrees

Which trigonometric function is used when you are not dealing with the hypotenuse?

• Secant

• Sine

• Cosine

• Tangent

When solving for a side length, what should you do if the variable is in the denominator?

• Add the variable to both sides

• Multiply both sides by the variable

• Subtract the variable from both sides

• Divide both sides by the variable

What is the value of side a when using tangent of 71 degrees and side b is 24?

• 8.26

• 10.5

• 12.3

• 15.8

Which trigonometric identity can be used to find the hypotenuse if you are given the opposite side and an angle?

• Cotangent

• Tangent

• Cosine

• Sine

What is the calculated length of side c using sine of 71 degrees and side b is 24?

• 20.5

• 22.8

• 25.3

• 27.6