Question

Drag each trigonometric function to the correct location on the chart.

Answer 1

Answer:

1. $\frac{\sqrt{3}}{2}$

2. 0.5

3. 0.5

4. $\frac{\sqrt{3}}{2}$

5. 0.5

6. 0.5

Step-by-step explanation:

Here we have to match the trigonometric functions with their values.

Now,  

(1) $\sin \frac{\pi }{3} = \sin 60^{\circ} = \frac{\sqrt{3}}{2}$

(2) $\sin \frac{\pi }{6} = \sin 30^{\circ} = 0.5$

(3) $\cos \frac{\pi }{3} = \cos 60^{\circ} = 0.5$

(4) $\cos \frac{\pi }{6} = \cos 30^{\circ} = \frac{\sqrt{3}}{2}$

(5) $\cos \frac{5\pi}{3} = \cos (2\pi - \frac{\pi}{3}) = \cos \frac{\pi}{3} = \cos 60^{\circ} = 0.5$

(6) $\sin \frac{5\pi}{6} = \sin (\pi - \frac{\pi}{6}) = \sin \frac{\pi}{6} = \sin 30^{\circ} = 0.5$

{Since, $\sin (\pi - \theta) = \sin \theta$ and $\cos (2\pi - \theta) = \cos \theta$} (Answer)