Answer :
Answer:
The answer to your question is cos 510 = - [tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Data
cos 510° = ?
Process
1.- Find an equivalent angle to 510° subtracting 360°
510 - 360 = 150°
That means that if we calculate the cos 150 will be the same as cos 510
2.- Calculate the cos 150°
150° is located in the second quadrangle. In this quadrangle cosine is negative.
Also, cos 150° = 180° - 30°
If we calculate the cosine of angle 30° will be the same value of cos 150° and the same of cos 510° but with negative sign.
cos 30° = [tex]\frac{\sqrt{3}}{2}[/tex] cos 150° = [tex]- \frac{\sqrt{3}}{2}[/tex] and cos 510° = [tex]- \frac{\sqrt{3}}{2}[/tex]
