Question

Help with proving the following

Answer 1

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

 $\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }$

Second step

⇒ form a common denominator for the fraction in the 'denominator'

$\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }$

Let's flip over the fraction on the denominator

$\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx$

And there you go, you have proved the statement by following these steps!

 *note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

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