Question

3 cosx + 7 cosx +4=0​

Answer 1

Ответ:я думаю что 10cos(x)+4

Answer 2

To solve the equation 3cos(x) + 7cos(x) + 4 = 0, we can combine the like terms:

10cos(x) + 4 = 0

Next, we isolate the cosine term by subtracting 4 from both sides:

10cos(x) = -4

Finally, we divide both sides by 10 to solve for cos(x):

cos(x) = -4/10 cos(x) = -2/5

To find the values of x that satisfy this equation, we can use the inverse cosine function (also known as arccos or cos^(-1)):

x = arccos(-2/5)

Note that the inverse cosine function typically provides a principal value between 0 and π. However, since cosine is an even function, it repeats itself every 2π. Therefore, the general solution for x can be written as:

x = arccos(-2/5) + 2πn

where n is an integer representing the number of complete cycles of the cosine function.