Question

Express in degree form ${\left(\frac{5\pi }{12}\right)}^c$

• A. ${60}^{\circ }$
• B. ${45}^{\circ }$
• C. ${180}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

Answer: (B)

${45}^{\circ }$

we know that ${\left(1\right)}^c={\left(\frac{180}{\pi }\right)}^{\circ }$

$\therefore {\left(\frac{5\pi }{12}\right)}^c=\left(\frac{5\pi }{12}\right)\times {\left(\frac{180}{\pi }\right)}^{\circ }={75}^{\circ }$