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

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

3 years ago

Al bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Al pay for t

choli [55]

Answer:

$40.35

Step-by-step explanation:

60% off of the fishing poles price means Al payed for 40% of the original price. (So, you multiply 97 by .40 - And you get 38.8)
For the tax you multiply 38.8 times .04- You should get 1.552
Lastly, add 38.8 and 1.522 together.

8 0

3 years ago