Math CentralQuandaries & Queries


Question from Torrie, a student:

I need to solve this problem in terms of Sin, but I'm having trouble.
1 + cot x divided by sin x + cos x

Hi Torrie,

The numerator is

\[1 + \cot(x) = 1 + \frac{\cos(x)}{\sin(x)}.\]

Write the two terms in the numerator with a common denominator and then divide the numerator by $\sin(x) + \cos(x)$ to obtain the original expression and solve.



Write $\cot x$ as $\frac{\cos x}{\sin x}$ (this should be a conditioned reflex!)

Write 1 as $\frac{\sin x}{ \sin x}$ (this is a standard trick)

Tidy up.

Good Hunting!

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