Question

Cosп(2x+9)/3=1/2в ответе запишите наибольший отрицательный корень. Ели не сложно распишите все

Answer 1

Відповідь:

n и х є R

Пояснення:

1)cos (n) * (2x90 /3 =1-2b

2) 2cos (n)* (2x+9) / 3 =b

3) b -=2cos (n)* (2x+9) / 3

40 b =2cos (n)* (2x+9) / 3 / n є R, x єR

Answer 2

To find the solutions for the equation cos(2x + 9)/3 = 1/2, we need to isolate the variable x and then solve for it. Here's the step-by-step process:

Step 1: Cross-multiply to eliminate the fraction: 2 * cos(2x + 9) = 3 * 1/2 cos(2x + 9) = 3/2

Step 2: Recall the unit circle or trigonometric identities to find the angles with cos values of 3/2 (which is outside the range of -1 to 1). However, no real number solutions exist for cos(2x + 9) = 3/2 since the cosine function only takes values between -1 and 1.

Therefore, there are no real solutions for the equation cos(2x + 9)/3 = 1/2.