Trigonometry & Inverse Trigonometry
Trigonometric Equations
Grade 11
Question:
<p>Find the number of solutions of the equation in the interval <span>[0, 2π]</span> where the graph of <span>y = tan x</span> and <span>y = \frac{71}{x}</span> intersect.</p>
Step-by-Step Solution
Key Concept: Finding intersection points of tan x and a rational function by graphical analysis in a given interval.
<p><strong>Analysis:</strong> The graph of the curve <span>y = \tan x</span> and <span>y = \frac{71}{x}</span> in the interval <span>[0, 2π]</span> intersect at three points.</p><p><strong>Answer:</strong> Number of solutions is <strong>3</strong>.</p>
Correct Answer: 3