Understanding Tangent Ratios

What is the tangent ratio in a right triangle?

• The ratio of the hypotenuse to the adjacent side

• The ratio of the opposite side to the adjacent side

• The ratio of the hypotenuse to the opposite side

• The ratio of the adjacent side to the hypotenuse

In the mnemonic TOA, what does the 'O' stand for?

• Over

• Orthogonal

• Obtuse

• Opposite

Which tool can be used to find the tangent of an angle if you don't have a calculator?

• A compass

• A ruler

• A protractor

• A trig table

If the tangent of angle J is 0.75, what is the ratio of the opposite side to the adjacent side?

• 1/2

• 3/4

• 2/1

• 4/3

How do you solve for an unknown side using the tangent ratio?

• Divide the adjacent side by the tangent

• Multiply the tangent by the hypotenuse

• Multiply the tangent by the adjacent side

• Divide the opposite side by the tangent

What is the tangent of 32 degrees approximately?

• 0.8660

• 0.5321

• 0.6249

• 0.7071

When using a calculator, what mode should it be in to calculate tangent ratios?

• Graphing mode

• Radian mode

• Degree mode

• Scientific mode

If tangent of angle K is 1.875, what is the ratio of the opposite side to the adjacent side?

• 1/2

• 8/15

• 15/8

• 2/1

What should you do if your calculator shows an error when calculating tangent?

• Use a different calculator

• Try a different trigonometric function

• Check if the angle is in degrees

• Switch to radian mode

What is the reciprocal of the tangent of angle J if it is 0.5333?

• 0.75

• 0.5333

• 1.875

• 1.3333