Suppose that Cot(theta) = c and 0<theta<pi/2.
what is a formula for tan (theta) in terms of c?
Cot = 1/tan I know that, but I don't understand what the question is really asking for.
that's all you need.
if cotθ = c, tanθ = 1/cotθ = 1/c
tanθ and cotθ are reciprocals.
The question is asking for a formula that expresses the tangent function (tan) in terms of the cotangent function (cot), given that cot(theta) = c. To find this formula, we can start by using the reciprocal property of tangent and cotangent:
cot(theta) = c
1/tan(theta) = c
To isolate tan(theta), we can take the reciprocal of both sides:
tan(theta) = 1/(1/tan(theta))
tan(theta) = 1/(c)
So, the formula for tan(theta) in terms of c is:
tan(theta) = 1/c
The question is asking for a formula that expresses tan(theta) in terms of c, where Cot(theta) = c and 0 < theta < pi/2. Since you know that Cot(theta) = 1/tan(theta), we can use this relationship to find a formula for tan(theta) in terms of c.
Let's start by rearranging the equation Cot(theta) = c:
1/tan(theta) = c
Next, we can take the reciprocal of both sides to obtain:
tan(theta) = 1/c
So the formula for tan(theta) in terms of c is simply 1/c.