Chapter 1: Limits

Section 1.4: Limits for Trig Functions

Example 1.4.3

$$ Justify the expression for the area of triangle POB in Table 1.4.2. $$ Solution $$ The area of triangle POB is half the base times the height. The base is $x\=\cos \left(\mathrm{\θ}\right)$ and the height is $\left|y\right|\=\left|\sin \left(\mathrm{\θ}\right)\right|$. Hence, the area of triangle POB is $\=\frac{1}{2}$$\cos \left(\mathrm{\θ}\right)\left|\sin \left(\mathrm{\θ}\right)\right|$.

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