The value of cos 63⁰ to 3 significant figures is
-0.413
+0.454
I apologize, the correct answer is +0.454
To find the value of cos 63° to 3 significant figures, we can use a scientific calculator or a trigonometric table. However, I can also explain the steps for manually calculating it.
1. Convert the angle from degrees to radians:
To convert 63 degrees to radians, we use the conversion factor (π/180).
Radians = 63 * (π/180) ≈ 1.0995574 radians (approximate value)
2. Use the cosine function:
The cosine function calculates the ratio of the adjacent side of a right triangle to the hypotenuse.
cos(x) = adjacent side / hypotenuse
3. Calculate the cosine of 1.0995574 radians:
cos(1.0995574) ≈ 0.475520
4. Round the result to three significant figures:
The significant figures in the result are "0.47", and since the next digit "5" is less than 5, we round down:
cos 63° ≈ 0.47
Therefore, the value of cos 63° to 3 significant figures is approximately 0.47.