Evaluate the trig function of cosine and inverse tangent

The video tutorial covers the concept of inverse tangent, explaining the challenges of finding the inverse tangent of values not on the unit circle. The teacher demonstrates how to construct triangles to solve these problems and applies the Pythagorean theorem to find missing sides. The lesson concludes with a brief interruption.

What is the main issue when trying to find the inverse tangent of 2 using the unit circle?

• The unit circle does not have points for tangent values greater than 1.

• The unit circle only works for sine and cosine values.

• Inverse tangent is not defined on the unit circle.

• The unit circle is only used for angles in radians.

How is tangent represented in terms of a triangle?

• As the ratio of the hypotenuse to the opposite side.

• As the ratio of the opposite side to the adjacent side.

• As the ratio of the adjacent side to the hypotenuse.

• As the sum of the opposite and adjacent sides.

Why is it necessary to use triangles instead of the unit circle for certain tangent values?

• Triangles are easier to draw.

• The unit circle only works for angles in degrees.

• Some tangent values do not correspond to points on the unit circle.

• Triangles provide more accurate results.

What is the result of applying the Pythagorean theorem to the triangle with sides 2 and 1?

• The hypotenuse is 2.5.

• The hypotenuse is √5.

• The hypotenuse is 3.

• The hypotenuse is 5.

What is the final step in finding the cosine of the angle in this problem?

• Add the sides of the triangle.

• Rationalize the denominator.

• Convert the angle to degrees.

• Use the sine function instead.