Master composing inverse trig functions using right triangles

The video tutorial explains how to evaluate the composition of trigonometric functions and their inverses. It covers the use of the unit circle and triangles to find angles, emphasizing the importance of understanding the range of sine, cosine, and tangent functions. The tutorial demonstrates how to handle both positive and negative values in trigonometric functions, using the Pythagorean theorem and Pythagorean triples to solve for unknown sides of triangles. The video concludes with examples of evaluating inverse trigonometric functions and their compositions.

What is the primary goal when evaluating the inverse of a trigonometric function?

• To calculate the area

• To determine the angle

• To identify the hypotenuse

• To find the length of a side

When evaluating the sine inverse of 4/5, what does this value represent?

• An angle

• A tangent

• A side length

• A hypotenuse

How can you find the cosine of an angle if you know the sine of the angle?

• By using the cotangent

• By using the secant

• By using the Pythagorean theorem

• By using the tangent

What does the tangent inverse of a value represent?

• A cosine

• An angle

• A side length

• A hypotenuse

In which quadrants is the tangent inverse function defined?

• 1st and 4th

• 3rd and 4th

• 2nd and 3rd

• 1st and 2nd

When dealing with a negative cosine value, which quadrant should the triangle be drawn in?

• 3rd quadrant

• 4th quadrant

• 2nd quadrant

• 1st quadrant

What is the cotangent of an angle if the opposite side is -12 and the adjacent side is 5?

• 5/12

• -12/5

• 12/5

• -5/12