Step 2 - Trig Lab Assignment Worksheet.sagews

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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

#1.  All 6 trig functions on 5π/6
sin5π/6=1/2
cos5π/6=-squrt3/2
tan5π/6=-squrt3/3
csc5π/6=2
sec5π/6=-2squrt3/3
cot5π/6=-squrt3

show(cos(5*pi/6))

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

#2.  All 6 trig function on 9π/2
sin9π/2=1
cos9π/2=0
tan9π/2=1/0=undefined
csc9π/2=1
sec9π/2=1/0=undefined
cot9π/2=0

#3.  sin-1(-.5)
sin-1(-.5)=-30

#4.  Solve sin(θ)=-.75 for θ
θ= -48.6 degrees

#5.  Solve tan(φ)=100 for φ
φ= 89.4 degrees