Question

Cos ( 27/2 - x )=√ 3/2

Answer 1

Решение задания смотри на фотографии

Answer 2

To find the value of 'x' in the equation cos(27/2 - x) = √3/2, we can use trigonometric identities and properties.

First, let's recall the trigonometric identity: cos(π/6) = √3/2.

Now, observe that the given equation is similar to the identity above. We can rewrite the equation as:

cos(27/2 - x) = cos(π/6)

To find 'x,' we need to equate the arguments of the cosine functions:

27/2 - x = π/6

Now, let's solve for 'x':

27/2 - x = π/6

To isolate 'x,' subtract π/6 from both sides:

x = 27/2 - π/6

Now, let's convert 27/2 and π/6 to a common denominator:

x = (27/2) - (π/6) = (27/2) - (π/6) * (3/3)

x = (27/2) - (3π/18) = (27/2) - (π/6)

Now, you can express the answer either in terms of π or as a decimal approximation. The final result will be:

x = 27/2 - π/6 ≈ 4.3801 radians (in terms of π)

x ≈ 1.2188 radians (approximation in decimal form)

Please note that the exact value of 'x' will be in radians. If you need it in degrees, you can convert it using the conversion factor: 1 radian ≈ 57.2958 degrees.