The process of locating the tangent pertains to the task of pinpointing a line that only intersects with a curve at one distinct point. In the field of calculus, we accomplish this by utilizing the derivative of a function at a chosen point. When we switch gears to trigonometry, the tangent is understood as the proportion of sine to cosine in relation to an angle situated in a right-angled triangle.
| Topic | Problem | Solution |
|---|---|---|
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan A = -\frac{11}{60}\) and we need to find \(\tan (2 A)\). |
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan (A) = -\frac{11}{60}\) and we are asked to find \(\tan (2 A)\). |
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan A = -\frac{11}{60}\) and we need to find \(\tan (2 A)\). |
| None | Decide whether the statement is possible or impos… | Decide whether the statement is possible or impossible |
| None | Use a calculator to find $\arctan (0.490)$ $\arct… | The question is asking for the arctan of 0.490. The arctan function is the inverse of the tangent f… |
| None | In $\triangle V W X$, the measure of $\angle X=90… | In right triangle \(\triangle VWX\), where \(\angle X=90^\circ\), the lengths of the sides are give… |
| None | Given that $\cos \theta=-\frac{11}{61}$ and that … | We are given that \(\cos \theta = -\frac{11}{61}\) and that angle \(\theta\) terminates in quadrant… |
| None | Find the exact value of the real number $y$ if it… | The arctan function is the inverse of the tangent function. It returns the angle whose tangent is t… |
| None | 1. What is the correct formula when considering t… | Find the correct formula for the tangent ratio of \(\angle B\): |
| None | A boat is heading towards a lighthouse, whose bea… | \( \tan{15^{\circ}} = \frac{113}{x} \) |