Using the Unit Circle

sin X = 41/28

tan X = 41/28

cos X = 28/41

sin X = 28/41

50.5 degrees

12.7 degrees

36.9 degrees

72.2 degrees

112

68

158

248

43

-43

47

-47

117°

207°

63°

153°

150°

30°

80°

60°

235°

125°

75°

55°

0

90

45

60

1/2

-1/2

√3 / 2

-√3 / 2

(−√2∕2, √2∕2)

(−√2∕2, −√2∕2)

(−√3∕2, −√2∕2)

(√2∕2, −√2∕2)

√2∕2

1/2

√3/2

0

1/2

-1/2

√3/2

-√3/2

0

1/2

√3/2

1

0

1/2

√3/2

1

$$210\degree$$  

$$45\degree$$  

$$150\degree$$  

$$60\degree$$  

90

$$\pi$$

$$2\pi$$

$$\frac{3\pi}{4}$$

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$$  

$$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$$  

$$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$$  

$$\left(\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$$  

$$\frac{3\pi}{4}$$  

$$\frac{\pi}{2}$$  

$$\frac{7\pi}{4}$$  

$$\frac{7\pi}{6}$$  

True

False

$$\left(\tan\theta,\sin\theta\right)$$

$$\left(\cot\theta,\cos\theta\right)$$

$$\left(\sin\theta,\cos\theta\right)$$

$$\left(\cos\theta,\sin\theta\right)$$

$$-\frac{1}{2}$$

$$\frac{1}{2}$$

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

$$-\frac{\sqrt{3}}{2}$$

$$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$  

$$\left(\frac{1}{3},\frac{\sqrt{3}}{3}\right)$$  

$$\left(\frac{\sqrt{3}}{2},\frac{\sqrt{2}}{2}\right)$$  

$$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$  

True

False