Refer to the right triangle in the figure. Click on the picture to see it more clearly.
If , \(BC=5\) and the angle \(\beta=65 ^\circ\text{,}\) find any missing angles or sides. Give your answer to at least 3 decimal digits.
AB =
AC =
\(\alpha\)=
8.
Click on the graph to view a larger graph
For the given angle \(x\) in the triangle given in the graph
\(\sin x=\) ;
\(\cos x=\) ;
\(\tan x=\) ;
\(\cot x=\) ;
\(\sec x=\) ;
\(\csc x=\) ;
9.
Solve the following equations in the interval [0,2\(\pi\)].
Note: Give the answer as a multiple of \(\pi\text{.}\) Do not use decimal numbers. The answer should be a fraction or an integer. Note that \(\pi\) is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is \(\pi/2\) you should enter 1/2. If there is more than one answer enter them separated by commas.
\(\sin(t)= -\frac{1}{2}\)
\(t=\)\(\pi\)
\(\sin(t)= \frac{\sqrt{2}}{2}\)
\(t=\)\(\pi\)
10.
Solve the following equations in the interval [0, 2 \(\pi\)].
Note: Give the answer as a multiple of \(\pi\text{.}\) Do not use decimal numbers. The answer should be a fraction or an integer. Note that \(\pi\) is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is \(\pi/2\) you should enter 1/2. If there is more than one answer enter them separated by commas.