Question

Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not decimal values.cos(45∘)=sin(45∘)=tan(45∘)=cos(π/4)=sin(π/4)=tan(π/4)=

Answer 1

Given

Trigonometric function

Procedure

`\begin{gathered} \cos (45)=\frac{\sqrt[]{2}}{2} \\ \\ \sin (45)=\frac{\sqrt[]{2}}{2} \\ \\ \tan (45)=1 \end{gathered}`
`\pi/4=45`
`\begin{gathered} \cos (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \\ \sin (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \\ \tan (\pi/4)=\frac{\sqrt[]{2}}{2} \\ \end{gathered}`