Respuesta :
Step 1: Convert [tex]\frac{5\pi }{12}[/tex], which is in radians into degrees. To convert it multiply by [tex]\frac{180}{\pi }[/tex]
[tex]\frac{5\pi }{12} =\frac{180}{\pi }[/tex]
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 = [tex]\frac{\sqrt{2} }{2}[/tex]
cos30 =[tex]\frac{\sqrt{3} }{2}[/tex]
Step 3: Add the cos45 and cos30 to get cos5pi/12
[tex]\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}[/tex]
Hope this helped!
Answer: on ap3x it is sqrt 2(sqrt3 -1)/4
Step-by-step explanation: yw
