Trigonometric Functions and Triangle Properties

The video tutorial explains how to solve a right triangle by finding the lengths of all sides and the measures of all angles. It demonstrates using trigonometric functions like tangent and cosine to calculate the sides, and the angle sum property to find the remaining angle. The tutorial emphasizes using a calculator for precise calculations and provides step-by-step guidance for each part of the process.

What does it mean to solve a right triangle?

• Find the perimeter of the triangle.

• Find the area of the triangle.

• Find the lengths of all sides and the measures of all angles.

• Find the length of the hypotenuse only.

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function relates the opposite side and the adjacent side of an angle?

• Secant

• Tangent

• Cosine

• Sine

Tags

CCSS.HSG.SRT.C.8

If the tangent of 65 degrees is used to find side a, what is the formula to calculate a?

• a = 5 * cos(65)

• a = 5 * tan(65)

• a = 5 / cos(65)

• a = 5 / tan(65)

Tags

CCSS.8.G.B.8

What is the approximate length of side a when rounded to the nearest tenth?

• 10.5

• 11.0

• 10.9

• 10.7

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function is used to find the hypotenuse when the adjacent side is known?

• Sine

• Cosine

• Cosecant

• Tangent

Tags

CCSS.HSG.SRT.C.8

What is the formula to find side b using cosine of 65 degrees?

• b = 5 / sin(65)

• b = 5 * cos(65)

• b = 5 / cos(65)

• b = 5 * sin(65)

Tags

CCSS.8.G.B.8

What is the approximate length of side b when rounded to the nearest tenth?

• 11.8

• 11.6

• 12.0

• 11.5

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which theorem can be used as an alternative method to find side b?

• Triangle Sum Theorem

• Law of Cosines

• Law of Sines

• Pythagorean theorem

Tags

CCSS.8.G.A.5

What is the sum of the angles in any triangle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

What is the measure of angle W in the right triangle?

• 30 degrees

• 45 degrees

• 25 degrees

• 35 degrees

Tags

CCSS.8.G.A.5