cos(62)=4/x

Answer 1

To solve this equation, we'll use the definition of the cosine function. The cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Let's assume that the angle 62 degrees is in a right triangle, and the adjacent side has length 4, while the hypotenuse has length x.

Using the definition of cosine, we have:

cos(62) = adjacent side / hypotenuse
cos(62) = 4 / x

Now, we can solve for x by multiplying both sides by x:

x * cos(62) = 4

Finally, we divide both sides by cos(62) to isolate x:

x = 4 / cos(62)

Using a calculator or trigonometric table, we can find the approximate value of cos(62) to be about 0.492.

Therefore,

x ≈ 4 / 0.492 ≈ 8.13

So, the value of x is approximately 8.13.