Finding the Tangent

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.

The problems about Finding the Tangent

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 $△ V W X$ , the measure of $\angle X=90…	In right triangle $△ V W X$ , where $∠ X = 90^{\circ}$ , the lengths of the sides are give…
None	Given that $\cos θ = - \frac{11}{61}$ and that …	We are given that $\cos θ = - \frac{11}{61}$ and that angle $θ$ 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 $∠ B$ :
None	A boat is heading towards a lighthouse, whose bea…	$\tan 15^{\circ} = \frac{113}{x}$