Solving Right Triangles with Inverse Trigonometric Functions

The video tutorial explains how to solve right triangles using inverse trigonometric functions. It begins with an introduction to inverse trig functions and their application in solving triangles. The Pythagorean Theorem is used to find the length of side C. The tutorial then demonstrates how to calculate angle A using both tangent and sine functions, and verifies the results. Finally, it shows how to find angle B by using the complementary angle property of right triangles.

What is the purpose of using inverse trigonometric functions in solving right triangles?

• To calculate the measures of unknown angles

• To determine the type of triangle

• To find the lengths of unknown sides

• To verify the correctness of calculated sides

Which theorem is used to find the length of the hypotenuse in a right triangle?

• Pythagorean Theorem

• Law of Cosines

• Euler's Theorem

• Law of Sines

What is the simplified exact value of the hypotenuse 'C' when side 'A' is 6 meters and side 'B' is 12 meters?

• 6√5 meters

• 18 meters

• 6 meters

• 12 meters

What trigonometric function is used first to find the measure of angle A?

• Tangent

• Sine

• Cotangent

• Cosine

What is the approximate measure of angle A using the tangent function?

• 45 degrees

• 30 degrees

• 63.43 degrees

• 26.57 degrees

Which function is used to verify the measure of angle A after using the tangent function?

• Cosine

• Cosecant

• Secant

• Sine

What is the result of using the sine function to verify the measure of angle A?

• 45 degrees

• 63.43 degrees

• 30 degrees

• 26.57 degrees

How is the measure of angle B determined?

• Using the sine function

• Using the cosine function

• Subtracting angle A from 180 degrees

• Subtracting angle A from 90 degrees

What is the approximate measure of angle B?

• 26.57 degrees

• 63.43 degrees

• 90 degrees

• 45 degrees

What are the final results obtained in solving the right triangle?

• Only the lengths of the sides

• None of the above

• Lengths of all sides and measures of all angles

• Only the measures of the angles