Question

If the sin 45° is 0.707, then the cos _____° is 0.707.

Answer 1

We know that sin squared plus cos squared = 1.

We also know the values for sin at 45 degrees, so we can see what the cos is at that angle.

Alternatively, you can see the answer clearly on a unit circle.

Answer 2

Im still confused can you explain a little more. Sorry.

Answer 3

If sin = 0.707 (rounded square root of 1/2), then
\[\sin^2(x) = \frac{1}{2}\]

Therefore,

\[\sin^2 + \cos^2 = 1\]
\[\frac{1}{2} + \cos^2(x) = 1\]
\[\cos(x) = \frac{1}{\sqrt{2}} \approx 0.707 \]

Answer 4

Therefore, since the sin(45) = 0.707, the cos(45) = 0.707

Answer 5

oh ok thanks