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
sin 5π/6 =1/2 
cos 5π/6 =-sqrt(3)/2
tan 5π/6 = -sqrt(3)/3
csc 5π/6 = 2
sec 5π/6 = 2sqrt(3)/3
cot 5π/6 = - sqrt (3)

# 2. All 6 trig functions on 9π/2
sin 9π/2 = 1
cos 9π/2 = 0
tan 9π/2= 1/0 = undefined 
csc 9π/2 = 1
sec 9π/2 = 1/0 = undefined 
cot 9π/2 = 0

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

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

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