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

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

#2 All 6 trig functions 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(-0.5)
sin^-1(-0.5)=-30 degrees

#4 Solve sin(θ)=-0.75 for θ
sin(θ)=-0.75
theta= -48.6 degrees

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