Question

How do you calculate sin 60 degrees multiplied by cosine 45 degrees?

Answer 1

So, sin(60°) × cos(45°) is equal to (√6)/4.

Explanation:

To calculate sin(60°) × cos(45°), you can use the trigonometric identities and the values for sine and cosine of these angles:

sin(60°) = √3/2

cos(45°) = √2/2

Now, multiply these values:

sin(60°) × cos(45°) = (√3/2) × (√2/2)

To simplify this expression, multiply the numerators together and the denominators together:

(sin(60°) × cos(45°)) = (√3 * √2) / (2 * 2)

Now, calculate the product:

(sin(60°) × cos(45°)) = (√6) / 4

So, sin(60°) × cos(45°) is equal to (√6)/4