Step 2 - Trig Lab Assignment Worksheet.sagews

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

show(sin(5*pi/6))
show(cos(5*pi/6))
show(tan(5*pi/6))
show(csc(5*pi/6))
show(sec(5*pi/6))
show(cot(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))
show(cos(9*pi/2))
show(tan(9*pi/2))
show(csc(9*pi/2))
show(sec(9*pi/2))
show(cot(9*pi/2))

$\displaystyle 1$

$\displaystyle 0$

$\displaystyle \infty$

$\displaystyle 1$

$\displaystyle \infty$

$\displaystyle 0$

asin(-.5)

-0.523598775598299

theta=var('theta')
solve(sin(theta)==-.75,theta)
show(solve(sin(theta)==-.75,theta))

[theta == -arcsin(3/4)]

phi=var('phi')
solve(tan(phi)==100,phi)
show(solve(tan(phi)==100,phi))