Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer:
pi/3, 5pi/3
Step-by-step explanation:
We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.
We can plug these in to find that they are indeed equal to 1/2.
[tex]\text{Given that,}\\\\y =\cos x ~ \text{and}~ y =\dfrac 12\\\\\text{Now,}\\\\\cos x = \dfrac 12\\\\\implies x = 2n\pi \pm \dfrac{\pi}3\\\\\text{For interval}~ (\pi , 2\pi)\\\\x = \dfrac{5\pi}3 ~~ \text{or}~~ x =300^{\circ}[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.