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

#Complete the above problems in the space below
show(sin(5*pi/6))

$\displaystyle \frac{1}{2}$

show(cos(5*pi/6))

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

show(tan(5*pi/6))

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

show(csc(5*pi/6))

$\displaystyle 2$

show(sec(5*pi/6))

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

show(cot(5*pi/6))

$\displaystyle -\sqrt{3}$

show(sin(9*pi/2))

$\displaystyle 1$

show(cos(9*pi/2))

$\displaystyle 0$

show(tan(9*pi/2))

$\displaystyle \infty$

show(csc(9*pi/2))

$\displaystyle 1$

show(sec(9*pi/2))

$\displaystyle \infty$

show(cot(9*pi/2))

$\displaystyle 0$

show(asin(-1/2))

$\displaystyle -\frac{1}{6} \, \pi$

sin(theta)==-.75
sin*sin(theta)==-.75*sin
show(sin(-3/4))

Error in lines 1-1 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 "", line 1, in <module> NameError: name 'theta' is not defined

tan(pi)==100
tan(pi)/tan==100/tan
show(100/tan)

0 == 100

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 "", line 1, in <module> TypeError: unsupported operand type(s) for /: 'sage.symbolic.expression.Expression' and 'Function_tan'