Pre Calc unit 3 Find the missing side of a right triangle using sine

The video tutorial explains how to solve for the hypotenuse in a right triangle using the sine function. It begins by identifying the trigonometric components: opposite and hypotenuse. The instructor demonstrates solving for the hypotenuse by isolating the variable and dividing by the sine of the given angle. An alternative method using the cosecant function is briefly discussed. The tutorial concludes with a calculation example, emphasizing the importance of verifying results.

What is the angle given in the problem for calculating the hypotenuse?

• 35 degrees

• 40 degrees

• 45 degrees

• 30 degrees

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

• Sine

• Tangent

• Cosine

• Cosecant

What is the first step in solving for the hypotenuse when it is in the denominator?

• Multiply both sides by the variable

• Divide both sides by the variable

• Subtract the variable from both sides

• Add the variable to both sides

What is the final expression for the hypotenuse in terms of the sine function?

• X = 7 * sine(35 degrees)

• X = 7 + sine(35 degrees)

• X = 7 / sine(35 degrees)

• X = 7 - sine(35 degrees)

What is the approximate value of the hypotenuse calculated using the sine function?

• 10.5

• 11.3

• 12.2

• 13.0