Question

Cos29cos119+sin29sin119

Answer 1

Ответ:

0

Пошаговое объяснение:

cos29°cos119°+sin29°sin119° = cos(29°-119°)=cos(119°-29°)=

=cos90°=0

Answer 2

Ответ:

вроде так, посмотришь)

Answer 3

To evaluate the expression cos(29)cos(119) + sin(29)sin(119), we can use the trigonometric identity known as the cosine of the difference of angles:

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

In this case, A = 29 and B = 119. Therefore, we can rewrite the expression as:

cos(29)cos(119) + sin(29)sin(119) = cos(29 - 119)

Now we need to find the cosine of the difference between 29 and 119. Since 119 is greater than 29, we can rewrite it as:

cos(29 - 119) = cos(-90)

The cosine function has a period of 360 degrees, so we can add or subtract multiples of 360 to find the equivalent angle within the range of -180 to 180 degrees. In this case, we have:

cos(-90) = cos(-90 + 360) = cos(270)

The cosine of 270 degrees is equal to 0:

cos(270) = 0

Therefore, cos(29)cos(119) + sin(29)sin(119) is equal to 0.