Understanding SOHCAHTOA in Trigonometry

This tutorial explains how to find unknown angles in right-angled triangles using the SOHCAHTOA method. It covers three examples, each demonstrating the use of sine, cosine, or tangent to calculate the angle marked as A. The process involves identifying the given sides relative to the angle, selecting the appropriate trigonometric function, and using the inverse function to find the angle. The tutorial concludes with a summary of the method.

What is the primary goal of using SOHCAHTOA in right-angled triangles?

• To determine the type of triangle

• To calculate the area of the triangle

• To find unknown angles

• To find the length of the hypotenuse

In the first example, which trigonometric function is used to find the angle?

• Secant

• Tangent

• Cosine

• Sine

What is the adjacent side length in the first example?

• 3

• 6

• 4

• 5

How do you calculate the angle using the inverse cosine function?

• By dividing the opposite by the hypotenuse

• By dividing the adjacent by the hypotenuse

• By dividing the opposite by the adjacent

• By multiplying the adjacent by the hypotenuse

What is the calculated angle in the first example?

• 30 degrees

• 60 degrees

• 45 degrees

• 36.9 degrees

In the second example, which trigonometric function is used?

• Cotangent

• Sine

• Cosine

• Tangent

What is the opposite side length in the second example?

• 8

• 4

• 3

• 5

How is the angle calculated using the inverse tangent function?

• By dividing the adjacent by the hypotenuse

• By dividing the opposite by the hypotenuse

• By multiplying the opposite by the adjacent

• By dividing the opposite by the adjacent

What is the calculated angle in the second example?

• 36.9 degrees

• 20.6 degrees

• 44.4 degrees

• 60 degrees

In the third example, which trigonometric function is used?

• Sine

• Cosine

• Cotangent

• Tangent