Question

what is the value of tan 74 degree with the help of trigonometric formula​

Answer 1

Answer:

Hi friends,

tan 74° = sin 74°/cos 74°=3.487

Step-by-step explanation:

Tan is short for tangent. Here we tell you what tan 74 degrees is, how we came up with the answer, and how knowing tan of 74 degrees can be useful.

To calculate tan (74) degrees of a right angled triangle, we use the following equation where angle is 74:

Tan(angle) = Opposite/Adjacent

Tan 74 degrees is simply the ratio of the side opposite of the angle to the side adjacent to the angle. As long as the angle stays at 74 degrees, the ratio does not change and tan 74 degrees is a fixed number.Tan(74) = 3.487

3.487 = Opposite/Adjacent

This is useful because if you know either Opposite or Adjacent length, you can enter it in the equation above and solve for the missing length.

You can also re-write the equation above to solve for Opposite and Adjacent to get the following new equations:

Opposite = 3.487 x Adjacent

Adjacent = Opposite / 3.487

If the angle is 74, then the tan of 74 degrees will be 3.487.

Have a great day