Test Questions

Here are my questions for our test tomorrow:


1) Point P is a point on the terminal arm of an angle Θ in standard position. If cscΘ<0 and sin theta=-15/17, deterine the value of the other five trigometric functions.

2)P(Θ) is a point on the unit circle. If secΘ<0 and tan(theta)<0, and the coordinates for P are (x, 2root6/7)

a. Find the value of x
b.State the coordinates of P(Θ+pi)

Solutions:

1)step 1: Determine quadrat-(quadrat III)
step2: Find sinΘ=1-(-8/17)squared=-15/17
Step3: Determine other 4 trig. values
sec=-17/8
csc=-17/15
tan=15/8
cot=8/15

2) a.
step1: determine quadrat-(quadrat 2)
step 2:1-(2√6/7)²=-5/7
b.step1: determine quadrat-(quadrat 4)
step 2: determine integer values for x and y: (5/7, -2root6)

Trig Equations

Today, we learned more about solving trig equations. We learned that you can graph the trig equations either on a unit circle, or on a grid. A good applet to show this is linked here. http://ronblond.com/M12/Trig.Solve.APPLET/index.html . Another program you can use for graphing is called Graphmatica. You may notice that for the graph of y=tan(x), the lines are not connected. The spaces in between the lines are called the asymptotes. Where the asymptotes are, the tangent ratio is 1/0 which has no solution, leading to no graph on that value. I am very confused by most of this stuff still. The assignment for Monday is to finish the angle measurement chart.

Exact Values for Trig Functions

Today we were to make a chart of the exact values of all 6 trig functions for up to 360 degrees on the unit circle. I didn't really get how to do it at all, but then i found out that for the chart you are only ever going to be using 2 circles. a 45:45:90 triangle or a 30:60:90 triangle, depending which angle you're on. If its 45, 135, 225, or 315 degrees the triangle you will use is a 45:45:90 triangle, all the other angles are the 30:60:90 triangle.

Radians & Degrees