Evaluate the sine of inverse cosine - learn math online

The video tutorial explains how to find the inverse of cosine, focusing on the restrictions necessary for determining its value. It discusses the concept of arc cosine and the importance of understanding the inverse graph of cosine, which is restricted between 0 and π. The tutorial uses triangle analysis to illustrate how to calculate the sine using the properties of triangles, emphasizing the need to adhere to the restrictions of the inverse function. The session concludes with a summary of the evaluation process for determining the correct triangle and calculating the sine.

What is the main focus when finding the inverse of cosine?

• Determining the angle using sine

• Finding the arc tangent

• Understanding the restrictions for sine and tangent

• Calculating the hypotenuse

What is the range of the inverse cosine function?

• 0 to π

• -π/2 to π/2

• 0 to 2π

• -π to π

When considering the inverse cosine, what does the value -2/3 represent?

• Hypotenuse over adjacent

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

How do you find the missing side of a triangle when given two sides?

• Use the sine rule

• Calculate using tangent

• Use the Pythagorean theorem

• Apply the cosine rule

What is the sine value calculated from the triangle with sides 3, -2, and √5?

• √5/3

• 3/√5

• 2/√5

• -2/3