![Find the exact values of the following expressions. \cos \left(\dfrac{\pi}{3}\right) and \sin \left(\dfrac{7\pi}{4}\right) | Homework.Study.com Find the exact values of the following expressions. \cos \left(\dfrac{\pi}{3}\right) and \sin \left(\dfrac{7\pi}{4}\right) | Homework.Study.com](https://homework.study.com/cimages/multimages/16/unitcircle2639671570253307389.png)
Find the exact values of the following expressions. \cos \left(\dfrac{\pi}{3}\right) and \sin \left(\dfrac{7\pi}{4}\right) | Homework.Study.com
![trigonometry - Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$ - Mathematics Stack Exchange trigonometry - Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/FOie2.png)
trigonometry - Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$ - Mathematics Stack Exchange
![Find the exact value of the following expression without using a calculator: cos \left ( \dfrac{5 \pi}{3} \right ). | Homework.Study.com Find the exact value of the following expression without using a calculator: cos \left ( \dfrac{5 \pi}{3} \right ). | Homework.Study.com](https://homework.study.com/cimages/multimages/16/study_unit_circle_018095716738881501533.png)
Find the exact value of the following expression without using a calculator: cos \left ( \dfrac{5 \pi}{3} \right ). | Homework.Study.com
![Dave Richeson on Twitter: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig Dave Richeson on Twitter: "Euler proved that π/4=arctan(1/2)+arctan(1/3), which can be used for computing digits of π (using the arctangent series). I wondered if I could prove it without using a trig](https://pbs.twimg.com/media/DhXRIQiX0AA9cMz.jpg:large)