Question

Cos58°*cos28°+sin58°*sin28°​

Answer 1

Ответ:

$= \frac{ \sqrt{3} }{2}$

Объяснение:

по формуле косинус разности двух аргументов:

$cos {58}^{0} \times cos {28}^{0} + sin {58}^{0} \times sin {28}^{0} = cos( {58}^{0} - {28}^{0}) = cos {30}^{0} = \frac{ \sqrt{3} }{2}$

Answer 2

To calculate the value of cos(58°) * cos(28°) + sin(58°) * sin(28°), you can use the trigonometric identity for the cosine of the difference of two angles:

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

In this case, A = 58° and B = 28°, so:

cos(58° - 28°) = cos(30°)

Now, you can use the fact that cos(30°) = √3/2:

cos(30°) = √3/2

So,

cos(58°) * cos(28°) + sin(58°) * sin(28°) = cos(30°) = √3/2

So, cos(58°) * cos(28°) + sin(58°) * sin(28°) = √3/2.