Which statements are true? Select all that apply.

The tangent of an angle satisfies .

1. Which quadrant could lie in? Explain how you know.
2. Estimate the possible value(s) of . Explain your reasoning.

Evaluate each of the following:

The sine of an angle, , in the second quadrant is . What is ? Explain how you know. 

Triangle is an isosceles right triangle in the unit circle.

A circle with center A at the origin of an x y plane. Point C lies on the outside of the curve, in the first quadrant, between the x and y axis. A point B is inside the circle, on the x axis, to the right of the origin. Segment A C is drawn. Segment B C is drawn. Angle C B A is labeled as a right angle.

1. Explain why .
2. Use the Pythagorean Identity to explain why .

Triangle is similar to triangle . The scale factor going from triangle  to triangle  is 3.

1. Explain why the length of segment is 3 times the length of segment and the length of segment is 3 times the length of segment .
2. Explain why .