Sin480° convert to surds form
To convert sin 480° to surds form, we can use the fact that sin (180° + x) = -sin x.
First, let's find the equivalent angle in the range 0° to 360°:
480° = 360° + 120°
Now, we can rewrite the sin 480° as sin (360° + 120°):
sin 480° = -sin 120°
Next, let's use the fact that sin (180° - x) = sin x to rewrite sin 120°:
sin 120° = sin (180° - 60°) = sin 60°
Lastly, we know that sin 60° = √3/2 in surds form, so the final answer is:
sin 480° = -sin 120° = -sin 60° = -√3/2 in surds form.
To convert sin 480° to surds form, we can use the periodicity of the sine function.
The sine function follows a pattern where sin(x) = sin(x + 360°). This means that we can subtract multiples of 360° from 480° to get an angle within one full revolution.
480° - 360° = 120°
Now, we can use the special angles associated with the sine function.
sin(120°) = √3/2
Therefore, sin 480° in surds form is √3/2.