tell how to find the cotangent of an angle when given the tangent of the angle. give an example
since cotØ = 1/tanØ by definition,
given the tangent of an angle, just take the reciprocal to find the cotangent of that same angle
eg, given tanØ = 4/7
then cotØ = 7/4
Is y=1/2x a direct or inverse variation
To find the cotangent of an angle when given the tangent of the angle, you can use the reciprocal relationship between the tangent and cotangent functions.
The reciprocal relationship states that the cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of that same angle. Mathematically, it can be expressed as:
cot(angle) = 1 / tan(angle)
So, to find the cotangent, you simply need to take the reciprocal of the given tangent value.
Here's an example:
Let's say we have the tangent of an angle as 2. To find the cotangent, we can use the formula:
cot(angle) = 1 / tan(angle)
Substituting the given tangent value:
cot(angle) = 1 / 2
Therefore, the cotangent of the angle is 1/2.
Remember to make sure you are using the appropriate units for your angle measurement (degrees or radians) depending on the context of the problem.