How to find the inverse of a trig value

The video tutorial explains how to solve for Theta using the cosine inverse function, emphasizing the importance of understanding the unit circle and its quadrants. It discusses finding angles with negative cosine values and highlights the constraints of the cosine inverse function, which only provides one answer within the range of 0 to π.

What is the cosine of Theta if Theta equals 5π/6?

• -1/2

• -sqrt 3 / 2

• 1/2

• sqrt 3 / 2

In which quadrant is the cosine of an angle negative?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

What is the angle Theta in the third quadrant where cosine is negative sqrt 3 / 2?

• 2π/3

• π/3

• 7π/6

• 5π/6

What is the range of angles for which the inverse cosine function provides results?

• 0 to π

• 0 to 2π

• 0 to π/2

• π to 2π

Why does the calculator provide only one answer for the inverse cosine of a value?

• Because it only considers angles in the first quadrant

• Because it only considers angles between 0 and π

• Because it only considers angles in the second quadrant

• Because it only considers angles between π and 2π