Trigonometric Functions and Ratios

The video tutorial explains how to find the measure of an angle in a right triangle using the sine function. It begins by identifying the sides of the triangle relative to the angle, then applies the sine function to calculate the angle. The process involves simplifying the ratio of the opposite side to the hypotenuse and using the inverse sine function to solve for the angle. Finally, the tutorial provides instructions on using a calculator to obtain the angle in degrees, rounded to the nearest hundredth.

What is the length of the opposite side to angle theta in the given right triangle?

• Unknown

• 22 units

• 9 units

• 18 units

Which side of a right triangle is always opposite the right angle?

• Base

• Adjacent side

• Opposite side

• Hypotenuse

What trigonometric function is used to find angle theta when the opposite side and hypotenuse are known?

• Secant

• Sine

• Tangent

• Cosine

What is the simplified form of the ratio 18/22?

• 9/11

• 8/11

• 9/10

• 11/9

What mathematical operation is used to solve for theta from sine theta?

• Exponential

• Square root

• Logarithm

• Inverse sine

What is the common factor used to simplify the fraction 18/22?

• 3

• 5

• 4

• 2

What mode should the calculator be in to find the angle in degrees?

• Radian

• Degree

• Gradient

• Decimal

Which function on the calculator is used to find the inverse sine?

• Second sine

• Inverse tangent

• Inverse cosine

• Square root

What is the approximate value of angle theta in degrees?

• 60.00 degrees

• 54.90 degrees

• 30.00 degrees

• 45.00 degrees

What is the purpose of rounding the calculated angle to the nearest hundredth?

• To reduce error

• To match the problem's requirement

• To simplify calculations

• To make it a whole number