Write the expression as the sine, cosine, or tangent of an angle.
cos 0.96 cos 0.42 + sin 0.96 sin 0.42
Is this cos 0.54?
yes.
To determine if the expression cos 0.96 cos 0.42 + sin 0.96 sin 0.42 is equal to cos 0.54, we can simplify it using the trigonometric identity:
cos(a - b) = cos a cos b + sin a sin b
In the given expression, we can identify a = 0.96 and b = 0.42.
So, cos(0.96 - 0.42) = cos 0.54
Now, substitute the values into the identity:
cos(0.96 - 0.42) = cos 0.96 cos 0.42 + sin 0.96 sin 0.42
Therefore, the given expression is equal to cos 0.54.