Question

Use trigonometric identities to transform one side of the equation into the other. (0 < θ , π/2)

(tan θ + cot θ )/ tan θ = csc^2 θ

Please I need to know how to work this out step by step.

Answer 1

\[\begin{align*}\frac{\tan\theta+\cot\theta}{\tan\theta}&=\frac{\tan\theta}{\tan\theta}+\frac{\cot\theta}{\tan \theta}\\\\
&=1+\cot\theta\cdot\frac{1}{\tan\theta}\\\\
&=1+\cot\theta\cdot\cot\theta\\\\
&=1+\cot^2\theta\\\\
&=\cdots
\end{align*}\]

Answer 2

I don't understand what you did to get csc^2 θ .

Answer 3

Please, I really need to know.

Answer 4

K i got it. thanks.