Trigonometric Ratios and Functions

This video tutorial from Moomoomath explains how to solve more complex problems involving trigonometric ratios. It covers the steps to identify the correct trig ratio, set up the equation, use a calculator to convert the ratio to a decimal, and solve for the unknown side using cross multiplication. The example provided involves finding the hypotenuse of a triangle using the sine function.

What is the first step in solving a trigonometric ratio problem?

• Use a calculator to find the decimal value

• Identify the trigonometric ratio to use

• Set up the equation with the angle

• Cross multiply the sides

Which side of a triangle is opposite the right angle?

• Base

• Opposite

• Hypotenuse

• Adjacent

If you have an angle of 50 degrees and the opposite side, which trigonometric function should you use?

• Cosine

• Tangent

• Sine

• Secant

What is the next step after identifying the trigonometric function?

• Convert the ratio to a decimal

• Set up the equation with the angle and sides

• Check if the hypotenuse is the longest side

• Solve for the unknown side

How many decimal places should the trigonometric ratio be converted to?

• Two

• Three

• Four

• Five

What is the purpose of putting the decimal over 1?

• To simplify the equation

• To create a proportion

• To find the hypotenuse

• To check the angle

What operation is used to solve the proportion?

• Division

• Addition

• Subtraction

• Cross multiplication

What should you do if the decimal is a coefficient?

• Divide by it to isolate the variable

• Subtract it from both sides

• Multiply both sides by it

• Add it to both sides

What is the length of the hypotenuse if the opposite side is 5 and the angle is 50 degrees?

• 7.527

• 6.527

• 8.527

• 5.527

Why should the hypotenuse be the longest side of a triangle?

• It is opposite the smallest angle

• It is opposite the right angle

• It is adjacent to the right angle

• It is the base of the triangle