Question: 1. In previous chapters you made connections between equations and their graphs. For example, the graph of an equation in the form y = a

1. In previous chapters you made connections between equations and their graphs. For example, the graph of an equation in the form y = a + bx is a line, and the graph of an equation in the form y = (x2 + bx + c is a parabola. Can you make similar connections for parametric equations? What type of graph results if the parametric equation for x is quadratic and the parametric equation for y is linear? If both parametric equations are quadratic? Experiment with different combinations of parametric equations for x and y, and make conjectures about the resulting graphs.

3. Select a pair of noncongruent angles that are supplementary (whose measures sum to 180°). Use your calculator to find the sine, cosine, and tangent of each angle measure. What relationships do you notice? Try other supplementary pairs to verify your relationships. Then select a pair of complementary angles (whose measures sum to 90°), and find the sine, cosine, and tangent of each angle measure. What relationships do you notice? Verify these relationships with other complementary pairs. Draw geometric diagrams that prove the relationships you find.

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1 If both equations are constant with x c and y d the graph is a single point at c d If the equation for x is constant and the equation for y is linea... View full answer

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