Question

Cos 35° cos25° - sin35° sin25°

Answer 1

=cos(35°+25°)=cos60°=1/2

Answer 2

Ответ:0,5

Пошаговое объяснение: Это формула косинуса суммы двух аргументов, она равна cos(35°+25°)=Cos60°=1/2

Answer 3

To evaluate the expression cos 35° cos 25° - sin 35° sin 25°, we can use the trigonometric identity for the difference of two angles, which states:

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

In this case, A = 35° and B = 25°. Plugging these values into the identity, we get:

cos (35° - 25°) = cos 35° cos 25° + sin 35° sin 25°

So, cos 35° cos 25° - sin 35° sin 25° is equal to cos (35° - 25°).

The difference of the angles is 35° - 25° = 10°. Therefore, the expression simplifies to:

cos (10°)

Now, using a calculator or trigonometric tables, we can find the value of cos 10°, which is approximately 0.9848.

Therefore, cos 35° cos 25° - sin 35° sin 25° is approximately equal to 0.9848.