Trigonometry: Solving for Angle X

The video tutorial explains how to solve a right angle triangle problem using the SOHCAHTOA method. It begins with an introduction to the concept, followed by setting up the problem with a given right angle triangle. The sides of the triangle are labeled as opposite, adjacent, and hypotenuse. The sine function is then applied to find the angle, and the calculation is completed using the inverse sine function to determine the angle in degrees.

What is the main goal of the problem discussed in the video?

• To find the length of a side in a triangle

• To calculate the area of a triangle

• To determine the size of an angle in a right-angled triangle

• To find the perimeter of a triangle

What type of triangle is being analyzed in the video?

• Scalene triangle

• Right-angled triangle

• Isosceles triangle

• Equilateral triangle

Which side is opposite to the angle X in the given triangle?

• Adjacent side

• Hypotenuse

• Base

• Opposite side

Which side is the hypotenuse in a right-angled triangle?

• The side opposite the right angle

• The side adjacent to the angle

• The longest side

• The shortest side

What is the first step in solving for angle X using trigonometry?

• Label the sides of the triangle

• Find the perimeter of the triangle

• Identify the type of triangle

• Calculate the area of the triangle

Which trigonometric function is chosen to solve the problem?

• Cosine

• Secant

• Tangent

• Sine

Which trigonometric ratio is used when dealing with opposite and hypotenuse?

• Cosecant

• Sine

• Tangent

• Cosine

What is the significance of the hypotenuse in trigonometric calculations?

• It is always equal to the opposite side

• It is not used in trigonometry

• It is used in the sine and cosine ratios

• It is always the shortest side

What are the given side lengths used in the sine function?

• Opposite: 17, Adjacent: 25

• Adjacent: 17, Hypotenuse: 25

• Opposite: 25, Hypotenuse: 17

• Opposite: 17, Hypotenuse: 25

How is the angle X calculated using the sine function?

• By adding the opposite and hypotenuse

• By using the inverse sine of the ratio of opposite to hypotenuse

• By dividing the hypotenuse by the opposite

• By multiplying the opposite and hypotenuse