Let's evaluate the given Trigonometric functions and find the exact value.
Question A:
[tex]\begin{gathered} \sin \frac{\pi}{6} \\ \\ Exact\text{ value of }\sin \text{ }\frac{\pi}{6}=\frac{1}{2} \\ \\ \text{Thus, we have:} \\ \sin \frac{\pi}{6}=\frac{1}{2}=0.5 \\ \\ \sin \frac{\pi}{6}=0.5 \end{gathered}[/tex]
Question B:
cos 225°
To find the exact value of cos 225°, apply the reference angle by finding the angle in the first quadrant with equivalent values.
Thus, we have:
225 - 90 - 90 = 45°
Make the expression negative because cosine is negative in the third quadrant.
We have:
[tex]\begin{gathered} -\cos 45\degree \\ \\ \text{The exact value of cos45}\degree\text{ is }\frac{\sqrt[]{2}}{2} \\ \\ -\cos 225\degree=-\frac{\sqrt[]{2}}{2}=-0.707 \\ \\ -\cos 225\degree=-0.707 \end{gathered}[/tex]
ANSWER:
[tex]\begin{gathered} Question\text{ A: }\frac{1}{2} \\ \\ \text{Question B: }\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]
