Finding Acute Angle Measures in Right Triangles using Inverse Sine Function

This video tutorial teaches how to find the measure of an acute angle in a right triangle using the inverse sine function. It begins with an introduction to trigonometric ratios, using the mnemonic 'sohcatoa' to explain sine, cosine, and tangent. The video then covers inverse trigonometric functions, explaining their notations and how they reverse the original functions. A practical example is provided to find angle A using the inverse sine function, followed by solving the entire triangle, including finding all side lengths and angles.

What does the mnemonic 'sohcatoa' help you remember?

• The types of angles in geometry

• The steps to solve a quadratic equation

• The ratios of side lengths for trigonometric functions

• The order of operations in mathematics

Which inverse trigonometric function is also known as arcsine?

• Inverse tangent

• Inverse cosine

• Inverse cotangent

• Inverse sine

In the example provided, which side length is opposite angle A?

• 7

• 5

• 6.2

• 8

What is the approximate measure of angle A in the example?

• 45 degrees

• 60 degrees

• 38.7 degrees

• 51.3 degrees

What theorem is used to find the remaining side length in a right triangle?

• Tangent theorem

• Cosine rule

• Sine rule

• Pythagorean theorem