Trigonometry Concepts and Applications

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 tutorial demonstrates finding the length of side C using the Pythagorean theorem and calculating angle A using the tangent function. It verifies the calculation of angle A with the sine function and concludes by finding angle B using complementary angles. The tutorial emphasizes the importance of using exact values to minimize errors.

What is the primary goal when solving a right triangle?

• To find the area of the triangle

• To determine the lengths of all sides and measures of all angles

• To find the midpoint of the hypotenuse

• To calculate the perimeter of the triangle

Which theorem is used to find the length of side 'C' in a right triangle?

• Tangent Rule

• Sine Rule

• Cosine Rule

• Pythagorean Theorem

What is the simplified exact value of the square root of 180?

• 6√5

• 3√5

• 12√5

• 9√5

How is the tangent of angle 'A' expressed in terms of the sides of the triangle?

• Adjacent side over hypotenuse

• Opposite side over adjacent side

• Hypotenuse over opposite side

• Adjacent side over opposite side

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

• 26.57 degrees

• 30.00 degrees

• 45.00 degrees

• 60.00 degrees

Which trigonometric function is used to verify the measure of angle 'A'?

• Tangent

• Cosine

• Secant

• Sine

What is the sine of angle 'A' expressed as a ratio?

• 1/2

• 1/√5

• √5/6

• 6/12

How are the two acute angles in a right triangle related?

• They are complementary

• They are supplementary

• They are equal

• They are congruent

What is the approximate measure of angle 'B'?

• 63.43 degrees

• 45.00 degrees

• 30.00 degrees

• 26.57 degrees

What information was given to solve the triangle?

• Three angles

• Two sides and an angle

• All sides

• All angles