## LaurenAshley1201 2 years ago Which expression is equal to sec x° multiplied by cot x°?

1. LaurenAshley1201

hypotenuse ÷ adjacent adjacent ÷ hypotenuse opposite ÷ adjacent hypotenuse ÷ opposite

2. KALYNNKANE

The graph below compares the total cost c of renting a car for d days with two different companies. Based on the information in the graph, which statement is FALSE? For a two-day rental, the price is the same with both companies. For a four-day rental, ReliaRent is cheaper. For a three-day rental, Trust Rentals is more expensive. For a one-day rental, ReliaRent is cheaper.

3. msayer3

try putting sec and cot in terms of trig properties i.e.) sin = opp/hyp and such

4. satellite73

man you are all over the place today solving equations, and now trig?! what kind of class is this?

5. satellite73

$\sec(x)=\frac{hyp}{adj}$ $\cot(x)=\frac{adj}{opp}$ multiply and cancel

6. waterineyes

$\sec(x) = \frac{1}{\cos(x)}$ $\cot(x) = \frac{\cos(x)}{\sin(x)}$ $\implies \frac{1}{\cos(x)} \times \frac{\cos(x)}{\sin(x)} \implies \frac{1}{\sin(x)} \implies cosec(x)$

7. satellite73

$\frac{hyp}{adj}\times \frac{adj}{opp}=\frac{hyp}{opp}$

8. satellite73

also what @waterineyes said, but you are asked for the ratios $\csc(x)=\frac{hyp}{opp}$ too

9. waterineyes

$cosec(x) = \frac{Hypotenuse}{Opposite}$

10. waterineyes

I am bit slow in typing..

11. LaurenAshley1201

thankyou SOOOOO much!

12. waterineyes

Welcome dear..