1. Complementary angles are angles whose measures add up to 90°. 46° + 44° = 90°, so the angles are complementary. <em>true
</em>2. sin(x) = cos(90-x). Here's why: <em />Sine = opposite/hypotenuse Cosine = adjacent/hypotenuse The side opposite one angle is the same as the side adjacent to the opposite angle. Therefore sin(angle) = cos(opposite angle) These can be expressed as (x) and (90-x), as we will explore in question #3. Anyways, sin(60°) = cos(90-60°) = cos(30°), so this is <em>true </em> 3. If we have a right triangle, it must have one right angle measuring 90°. The angles of a triangle add up to 180°. The other two angles' measures must add up to 90° because of this. <em>true</em><em />
4. <em>true</em><em> </em>Use the two sides to find the third (Pythagorean theorem) <em />Use the Law of Cosines to find each angle.
5. <em>false</em> We need a side to know how large the triangle is going to be. This is why triangles that share two angles are similar but not necessarily congruent.
