Steps to evaluate the inverse trig functions as composition

The video tutorial covers the evaluation of function compositions, focusing on cosine and sine functions. It explains the concept of reference angles and their significance in different quadrants. The tutorial also delves into the constraints of inverse trigonometric functions, emphasizing the importance of understanding which angles fall within these constraints. Additionally, it discusses the infinite solutions possible in trigonometry and the necessity of restrictions to define functions properly.

What is the cosine of 5π/6 in the second quadrant?

• -1/2

• 1/2

• -sqrt 3 / 2

• sqrt 3 / 2

Which angle gives a sine value of -sqrt 3/2?

• 2π/3

• 5π/3

• -π/3

• π/3

Why are restrictions necessary for inverse trigonometric functions?

• To simplify calculations

• To avoid negative values

• To ensure the function is continuous

• To limit the number of possible angles

What is the range of the inverse sine function?

• -π to π

• 0 to 2π

• 0 to π

• -π/2 to π/2

In a multiple-choice question about inverse trigonometric functions, why wouldn't 'infinite solutions' be an option?

• Because it is not mathematically possible

• Because restrictions are implied

• Because the question is always about a specific angle

• Because it would confuse students