Evaluating the composition of Functions using Right Triangles

The video tutorial explains how to evaluate the composition of the tangent of the inverse sine of -3/4. It involves constructing right triangles, determining valid quadrants for the angle, and using the Pythagorean theorem to find side lengths. The final step is evaluating the tangent of the angle, resulting in the answer -3 sqrt 7 / sqrt 7.

What is the initial problem discussed in the video?

• Evaluating the composition of the tangent of the inverse sine of -3/4

• Calculating the cosine of an angle

• Determining the hypotenuse of a triangle

• Finding the sine of an angle

Why is it necessary to create right triangles in this problem?

• To determine the sine of the angle

• Because the point is not on the unit circle

• To find the hypotenuse

• Because the point is on the unit circle

Which quadrants are considered for the angle to fall within the range of the inverse sine function?

• First and second quadrants

• Second and third quadrants

• Third and fourth quadrants

• First and fourth quadrants

What theorem is used to find the adjacent side of the triangle?

• Tangent theorem

• Cosine theorem

• Sine theorem

• Pythagorean theorem

What is the final answer for the tangent of the angle?

• -3/sqrt(7)

• -3 sqrt(7)/7

• 3 sqrt(7)/7

• 3/sqrt(7)