Trigonometric Ratios and Angles

The video tutorial explains how to solve for missing angles in a triangle using trigonometric functions. It covers the use of tangent, sine, and cosine inverses to find angles X, Y, and Z, respectively. The tutorial demonstrates setting up equations and using a calculator to find the angles, emphasizing the need to know two of the three sides to solve for the third. The video concludes with a reminder to subscribe for more tutorials.

What is the first step in solving for a missing angle in a right triangle?

• Draw the triangle

• Use the Pythagorean theorem

• Identify the sides you have

• Identify the hypotenuse

Which trigonometric ratio is used when you have the opposite and adjacent sides?

• Secant

• Sine

• Cosine

• Tangent

What is the tangent of angle X if the opposite side is 8 and the adjacent side is 10?

• 0.75

• 1.25

• 0.8

• 1.0

What is the angle in degrees if the tangent inverse of 8/10 is calculated?

• 50 degrees

• 45 degrees

• 38.7 degrees

• 30 degrees

Which sides are used in the sine ratio?

• Hypotenuse and base

• Opposite and adjacent

• Adjacent and hypotenuse

• Opposite and hypotenuse

What is the sine of angle Y if the opposite side is 4 and the hypotenuse is 7?

• 0.57

• 0.85

• 0.75

• 0.67

What is the angle Y in degrees if the sine inverse of 4/7 is calculated?

• 35.7 degrees

• 30 degrees

• 50 degrees

• 45 degrees

Which trigonometric ratio involves the adjacent side and the hypotenuse?

• Cosecant

• Tangent

• Cosine

• Sine

If the adjacent side is 9 and the hypotenuse is 12, what is the cosine of angle Z?

• 0.9

• 0.67

• 0.8

• 0.75

What must you know to solve for a missing angle using trigonometric ratios?

• The area of the triangle

• Two of the three quantities

• All three sides

• Only one side