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# Math 150 Trigonometry

• ###### Sample of what you should know before taking Math 150:
1. Given a. Find b. Solve • Solution
a. =30

b.    2. Solve • Solution        3. Graph the quadratic function .  Find the domain and range of the function.
• Solution  4. Find the measure of the numbered angles, given the lines m and n are parallel. • Solution
Angle 1 has measure 49 degrees since it is the supplement of 131 degrees.
Angle 2 has measure 49 degrees since Angle 1 and Angle 2 are vertical angles.
Angle 3 is 131 degrees since it is the supplement of Angle 2.
Angle 4 is 131 degrees since Angle 3 and Angle 4 are alternate interior angles.
Angle 5 is 49 degrees since it is the supplement of Angle 4.
Angle 6 is 49 degrees since Angle 5 and Angle 6 are vertical angles.
Angle 7 is 131 degrees since Angle 4 and Angle 7 are vertical angles.
5. Solve for h • Solution
First solve for side AC using the Pythagorean Theorem.   Since side lengths must be positive we have Note the triangle ABC is similar to ADB. Similar triangles have corresponding sides in proportion.  Side AB of triangle ADB corresponds to side AC of triangle ABC and sides BC and CB correspond.  This leads to the proportion.   • ###### Sample of what you will learn in Math 150:
1. Graph the trigonometric function over one complete period. • Solution
1. Find an interval whose length is one period.   2. Divide the interval into four equal parts to obtain the five key x-values. 3. Evaluate the function at these x-values. These points will be the maximum points, minimum points and point that intersect the line y = -1. 4. Plot the points found in the table and join them with a sinusoidal curve. 2. Find all radian solutions of the equation in the interval • Solution From the given interval the corresponding interval for 3x is Because sine equals 1 for all angles terminating on the positive y-axis, solutions over this interval are as follows  3.  Find the value of , given • Solution    4. Prove the identity • Solution         5. Find the angle between the vectors and • Solution     