Question

2 cos t = минус корень из 3

Answer 1

Ответ:

х = арксос (минус корень из трёх делённое на два) + 2 пи к  

х = плюс/минус Пи/6 + 2 пи к

Пошаговое объяснение:

Answer 2

To solve the equation 2cos(t) = -√3, we need to find the values of t that satisfy this equation.

First, let's isolate cos(t):

2cos(t) = -√3

Divide both sides by 2:

cos(t) = -√3/2

Now, we need to find the angles whose cosine equals -√3/2. Remember that the cosine function is negative in the second and third quadrants of the unit circle.

The reference angle for -√3/2 is π/6 radians or 30 degrees, which corresponds to the positive value of the cosine.

In the second quadrant, the cosine is negative, so the angle will be π - π/6 = 5π/6 radians.

In the third quadrant, the cosine is also negative, so the angle will be -π + π/6 = -π/6 radians.

So, the solutions for t are t = 5π/6 and t = -π/6.

Note: These solutions are for the range of t in radians. If you need solutions in degrees, you can convert the radians to degrees (180 degrees = π radians).