Lesson 8 “Sine”ing and “Cosine”ing It Solidify Understanding

Ready

Rewrite each fraction in an equivalent form by performing any indicated operation and rationalizing the denominators, when appropriate.

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Set

10.

Triangle is an isosceles right triangle. The length of one side is given. Fill in the values for the missing sides and angles and .

an isosceles right triangle with angles A, B, and C. The base is the square root of 2 centimeters

11.

Each point on the circle marks the end of a terminal ray in standard position. Label the measure of the angle of rotation at each position of the terminal ray. Angles will be in radians. Leave in your answer. (Each section is equal.)

a circle with 4 right triangles in it is graphed on a coordinate plane. there is a point at (1,0).

12.

Use the values in #11 to write the exact coordinates of the points on the circle. Be mindful of the numbers that are negative.

a circle with 4 right triangles in it is graphed on a coordinate plane. there is a point at (1,0).

13.

Find the arc length, , from the point to each point around the circle. Record your answers as decimal approximations to the nearest thousandth.

a circle with 4 right triangles in it is graphed on a coordinate plane. there is a point at (1,0).

Use your calculator to find the following values.

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Why are both of your answers negative?

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Why are both of your answers positive?

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Why is one answer positive and one answer negative?

Go

Graph the equation. Plot on the midline and plot a minimum and a maximum point. Use these points to sketch at least two periods of the graph.

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a blank coordinate plane

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a blank coordinate plane

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a blank coordinate plane

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a blank coordinate plane