Solving Right Triangles with Inverse Trig Ratios

What is the purpose of inverse trigonometric functions in trigonometry?

• To calculate the area of a triangle

• To find the hypotenuse of a right triangle

• To determine angles when given side lengths

• To multiply angles in complex equations

Which operation is inverse to multiplication in algebra?

• Exponentiation

• Subtraction

• Addition

• Division

How do you find an angle when given the sine ratio?

• Use the inverse cosine function

• Multiply the ratio by the hypotenuse

• Divide the opposite side by the adjacent side

• Use the inverse sine function

What is the inverse function used to find an angle when given the cosine ratio?

• Inverse cotangent

• Inverse sine

• Inverse tangent

• Inverse cosine

What button sequence is used on a calculator to find the inverse cosine of 0.5?

• Inverse -> Cosine -> 0.5 -> Enter

• Second -> Cosine -> 0.5 -> Enter

• 0.5 -> Cosine -> Enter

• Cosine -> 0.5 -> Enter

What is the result of taking the inverse tangent of 4/5?

• 45 degrees

• 40 degrees

• 38.65 degrees

• 39 degrees

How can you find the measure of angle T in a right triangle?

• Adding the measures of the other two angles

• Using the inverse sine of the opposite over hypotenuse

• 90 minus the measure of angle R

• Multiplying the lengths of the two sides

What trigonometric function involves the opposite side and the hypotenuse?

• Tangent

• Cotangent

• Cosine

• Sine

If the ratio of the opposite to the adjacent side is 5/7.5, what is the angle using inverse tangent?

• 33.69 degrees

• 34 degrees

• 35 degrees

• 36 degrees

What is the correct way to find the angle C using inverse trigonometry if 7.5 is the opposite and 5 is the adjacent side?

• Inverse tangent of 7.5 over 5

• Inverse sine of 7.5 over 5

• Inverse cotangent of 7.5 over 5

• Inverse cosine of 7.5 over 5