Question

what is the period of 4 tanx​

Answer 1

Step-by-step explanation:

$The period of the function </h2><h2>y</h2><h2>=</h2><h2>tan</h2><h2>x</h2><h2> is </h2><h2>π</h2><h2> , it can be seen from the graph:</h2><h2></h2><h2>graph{tanx [-5, 5, -2.5, 2.5]}</h2><h2></h2><h2>The fundamental branche is in </h2><h2>(</h2><h2>−</h2><h2>π</h2><h2>2</h2><h2>,</h2><h2>π</h2><h2>2</h2><h2>)</h2><h2> .</h2><h2></h2><h2>The </h2><h2>4</h2><h2> doesn't change the period, but only the shape, more steep, as it is possible to see:</h2><h2></h2><h2>graph{4tanx [-5.625, 5.625, -2.813, 2.81]}$