Question

Hi! I was absent today and did not understand this lesson please I will be really grateful if you help me ! I appreciate it this is classwork assignment does not count as a test I did some and I don’t know how to continue

Answer 1

`(\csc (x)-\sec (x))/(\csc (x)+\sec (x))`

Let's rewrite the expression as:

`((1)/(\sin(x))-(1)/(\cos(x)))/((1)/(\sin(x))+(1)/(\cos (x)))`

Multiply the numerator and the denominator by sin(x):

`\begin{gathered} ((\sin(x))/(\sin(x))-(\sin(x))/(\cos(x)))/((\sin(x))/(\sin(x))+(\sin (x))/(\cos (x))) \\ _{\text{ }}where\colon \\ (\sin(x))/(\cos(x))=\tan (x) \\ so\colon \\ (1-\tan (x))/(1+\tan (x)) \end{gathered}`