$\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}$

So,

$\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}$

6 0

4 years ago

What is the area of a pentagon with an apothem of 12 and side length of 17.4

Sophie [7]

Answer:

522

Step-by-step explanation:

For an n-sided polygon, with apothem a, and side s, the area is

A = ans/2

A = (12)(5)(17.4)/2

A = 522

5 0

3 years ago

What is $34.00 with 25% off

Furkat [3]

34 * .25 = 8.5

34 - 8.5 = 25.5

It's $25.5 with 25% off.

5 0

3 years ago

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