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
sin(5*pi/6)
cos5π/6=-squrt3/2
tan5π/6=-squrt3/3
csc5π/6=2
sec5π/6=-2squrt3/3
cot5π/6=-squrt3

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Error in lines 2-2 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 996, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "<string>", line 1 cos5π/Integer(6)=-squrt3/Integer(2) ^ SyntaxError: invalid syntax *** WARNING: Code contains non-ascii characters ***

#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(-.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