Find the measure of an angle use inverse tangent

The video tutorial explains how to find the angle X when given the tangent of X equals 1.5399. It starts by ensuring the use of the tangent function with a right triangle. The tangent function is described as a ratio of the opposite side to the adjacent side of a triangle. The tutorial then introduces the concept of inverse functions, specifically the inverse tangent, to find the angle X. The process involves using a scientific calculator to compute the inverse tangent of 1.5399, resulting in an angle of 57 degrees.

What is the first step to ensure you can use the tangent function in a problem?

• Verify the triangle is equilateral

• Confirm the triangle is scalene

• Ensure the triangle is a right triangle

• Check if the triangle is isosceles

What does the tangent of an angle represent in a right triangle?

• The difference between the hypotenuse and the adjacent side

• The ratio of the opposite side to the adjacent side

• The ratio of the hypotenuse to the opposite side

• The sum of all side lengths

What is the purpose of using an inverse function in this context?

• To find the length of the hypotenuse

• To determine the angle from a given tangent ratio

• To find the perimeter of the triangle

• To calculate the area of the triangle

Which tool is necessary to find the inverse tangent of a given ratio?

• A scientific or graphing calculator

• A ruler

• A protractor

• A compass

What is the angle X when the tangent of X is 1.5399, rounded to the nearest degree?

• 45 degrees

• 57 degrees

• 60 degrees

• 30 degrees