Question

Show that tanø+Cotø = Secø Cosecø​

Answer 1

True.

Keys:

• Manipulate left/right sides

Explanation:

`\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=(\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right))/(\cos \left(\theta\right)\sin \left(\theta\right))\\=(1)/(\cos \left(\theta\right)\sin \left(\theta\right))\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=(1)/(\cos \left(\theta\right)\sin \left(\theta\right))`

What was shown throughout this problem?

We showed that two different sides are capable of taking the same form.