Question

Cos 33° cos 24° - sin 33°. sin 24° =

Answer 1

Ответ:

5cos66/2sin24 = 5/2 = 2.5

Пошаговое объяснение:

Answer 2

To solve the equation cos 33° cos 24° - sin 33° sin 24° =, we can use trigonometric identities to simplify the expression.

First, let's recall the trigonometric identity for the cosine of the difference of two angles:

cos(A - B) = cos A cos B + sin A sin B

Now, let's rewrite the equation using this identity:

cos 33° cos 24° - sin 33° sin 24° = cos(33° - 24°)

By substituting the values into the equation, we have:

cos(33° - 24°) = cos 9°

Finally, we can evaluate cos 9° using the unit circle or a calculator. The value of cos 9° is approximately 0.9781.

Therefore, the solution to the equation cos 33° cos 24° - sin 33° sin 24° = is approximately 0.9781.