Exploring Trigonometric Ratios for Side Lengths

What mnemonic device is used to remember trigonometric ratios?

• SOHCAHTOA

• FOIL

• KATAWA

• PEMDAS

What is the first step in solving for a side in a right triangle using trigonometry?

• Choose the correct trigonometric ratio

• Identify the right angle

• Determine which sides are known

• Label the sides based on the given angle

What does the mnemonic 'KATAWA' help to remember?

• The names of geometric shapes

• The steps to solve an equation

• The trigonometric ratios

• The order of operations

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

• Sine

• Cosine

• Tangent

• Cotangent

How do you find the length of the opposite side using tangent?

• Multiply the length of the hypotenuse by the tangent of the angle

• Divide the length of the adjacent side by the tangent of the angle

• Multiply the tangent of the angle by the length of the adjacent side

• Divide the tangent of the angle by the length of the adjacent side

What ratio is used when you have the adjacent side and the hypotenuse?

• Secant

• Tangent

• Cosine

• Sine

How do you calculate the length of the adjacent side using cosine?

• Multiply the cosine of the angle by the length of the hypotenuse

• Divide the length of the hypotenuse by the cosine of the angle

• Multiply the length of the opposite side by the cosine of the angle

• Divide the cosine of the angle by the length of the hypotenuse

What is the correct step when the variable is in the denominator in a trigonometric equation?

• Multiply both sides by the trigonometric function

• Divide both sides by the trigonometric function

• Cross multiply and solve for the variable

• Divide both sides by the coefficient of the variable

Which trigonometric ratio is used for finding the hypotenuse when the opposite side and angle are known?

• Sine

• Cosine

• Cosecant

• Tangent

When using the sine ratio, what additional step is required if the variable is in the denominator?

• No additional steps are required

• Multiply by the sine of the given angle

• Divide by the sine of the given angle

• Cross multiply only