Question

Given sin(x)=.4 and cot(x) >0 what is cos(x)?

Answer 1

The cotangent is given by the cosine over the sine.

If the cotangent is positive and the sine is positive, that means the cosine is also positive.

Now, in order to find the value of cos(x), we can use the following property:

`\begin{gathered} \sin ^2(x)+\cos ^2(x)=1 \\ (0.4)^2+\cos ^2(x)=1 \\ 0.16+\cos ^2(x)=1 \\ \cos ^2(x)=1-0.16 \\ \cos ^2(x)=0.84 \\ \cos (x)=0.917 \end{gathered}`