Question

Evaluate the expression csc(tan⁻¹(u)/5)

Answer 1

To evaluate csc(tan⁻¹(u)/5), first find the value of tan⁻¹(u), then substitute it into the expression csc(θ/5)

Step-by-step explanation:

To evaluate the expression csc(tan⁻¹(u)/5), we first need to find the value of tan⁻¹(u). This represents the angle whose tangent is u. Once we have that, we can divide it by 5 and find the value of the expression.

Let's assume tan⁻¹(u) = θ. This means that tan(θ) = u. We can then find sin(θ) = 1/csc(θ). And since csc(θ) = 1/sin(θ), we can substitute the value of sin(θ) into the expression csc(tan⁻¹(u)/5).

So, the final expression becomes csc(θ/5) = 1/sin(θ/5). Now you can evaluate this expression by substituting the value of θ (which we found as tan⁻¹(u)) into it.