Step 2 - Trig Lab Assignment Worksheet.sagews

#Line 1-11 blank.

Evaluate the following using SAGE. Use the show command to make the output "pretty".

1. All 6 trig functions on 5π/6

2. All 6 trig function on 9π/2

3. sin^-1(-.5)

4. Solve sin(θ)=-.75 for θ

5. Solve tan(φ)=100 for φ

#Complete the above problems in the space below
show([sin(5*pi/6),cos(5*pi/6),tan(5*pi/6),1/sin(5*pi/6),1/cos(5*pi/6),1/tan(5*pi/6)])

[$\displaystyle \frac{1}{2}$, $\displaystyle -\frac{1}{2} \, \sqrt{3}$, $\displaystyle -\frac{1}{3} \, \sqrt{3}$, $\displaystyle 2$, $\displaystyle -\frac{2}{3} \, \sqrt{3}$, $\displaystyle -\sqrt{3}$]

show([sin(9*pi/2),cos(9*pi/2),tan(9*pi/2),csc(9*pi/2),sec(9*pi/2),cot(9*pi/2)])

[$\displaystyle 1$, $\displaystyle 0$, $\displaystyle \infty$, $\displaystyle 1$, $\displaystyle \infty$, $\displaystyle 0$]

arcsin(-.5).n()

-0.523598775598299

arcsin(-.75).n()

-0.848062078981481

arctan(100).n()

1.56079666010823