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

User Sam Fisher
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1 Answer

19 votes
19 votes

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

User UniversE
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