Question

Find the value of each trig function. 1. sec 225°2. csc 3pi/43. tan 5pi/4

Answer 1

The value of:

`\begin{gathered} \sec (225^(\circ))=-\sqrt[]{2}=-1.414 \\ \sec (225^(\circ))=(1)/(\cos (225^(\circ))) \\ \sec (225^(\circ))=(1)/(\cos (180+45)) \\ \sec (225^(\circ))=(1)/(\cos (180)\cos (45)-\sin (180)\sin (45)) \\ \sec (225^(\circ))=\frac{1}{-1*\frac{1}{\sqrt[]{2}}-0*\frac{1}{\sqrt[]{2}}} \\ \sec (225^(\circ))=-\sqrt[]{2} \end{gathered}`

And

`\csc ((3\pi)/(4))=\sqrt[]{2}=1.414`

And:

`\tan ((5\pi)/(4))=1`