Right Triangle Trigonometry Concepts

This video tutorial teaches how to solve right triangles by finding all angles and side lengths using trigonometric ratios and the Pythagorean theorem. It includes two examples: one with a given angle and side, and another with given side lengths. The tutorial also introduces the concepts of complementary angles and inverse trigonometric functions. It concludes with a brief mention of solving non-right triangles using the law of sines and cosines.

What is the primary goal when solving a right triangle?

• To identify the type of triangle

• To calculate the perimeter

• To determine all angle measures and side lengths

• To find the area of the triangle

How many pieces of information are there in a right triangle?

• Six

• Five

• Four

• Seven

What is the sum of the two acute angles in a right triangle?

• 45 degrees

• 180 degrees

• 90 degrees

• 60 degrees

If one acute angle in a right triangle is 20 degrees, what is the measure of the other acute angle?

• 80 degrees

• 90 degrees

• 70 degrees

• 60 degrees

Which trigonometric function relates the opposite side and hypotenuse?

• Secant

• Cosine

• Tangent

• Sine

What is the sine of 20 degrees if the opposite side is 6 and the hypotenuse is C?

• 6/C

• C/6

• 20/C

• C/20

What is the approximate value of the hypotenuse if the opposite side is 6 and the angle is 20 degrees?

• 17.5

• 18.5

• 16.5

• 15.5

Which trigonometric function relates the opposite side and adjacent side?

• Cosecant

• Tangent

• Cosine

• Sine

What is the tangent of 20 degrees if the opposite side is 6 and the adjacent side is B?

• 20/B

• B/20

• B/6

• 6/B

What is the approximate value of side B if the opposite side is 6 and the angle is 20 degrees?

• 15.5

• 18.5

• 16.5

• 17.5