## SugarRainbow Group Title find sec and csc when tan=3? one year ago one year ago

1. lgbasallote Group Title

if tan = 3 then that means opposite side is 3 and adjacent side is 1. make sense?

2. SugarRainbow Group Title

i think so it's one because on the unit circle the radius is one i guess? that's how i'm thinking about it

3. lgbasallote Group Title

no.. that's actually because $\tan = 3 = \frac 31 = \frac{opposite}{adjacent}$ so opposite side is 3 and adjacent side is 1

4. lgbasallote Group Title

does it make sense now?

5. SugarRainbow Group Title

yeah okay that makes more sense

6. lgbasallote Group Title

good so that means hypotenuse is $\huge \sqrt{3^2 + 1^2}\implies \sqrt{9 + 1} \implies \sqrt {10}$ right?

7. SugarRainbow Group Title

yeah that makes comeplete sense! okay so in another question i have to find tan and cot when sec=4 so does that mean....

8. lgbasallote Group Title

$\sec = 4 = \frac 41 = \frac{hypotenuse}{adjacent}$ so that means hypotenuse = 4 and adjacent = 1 right?

9. SugarRainbow Group Title

the hypotenuse is 4 and the adjacent angle is 1?|dw:1347253071421:dw|

10. lgbasallote Group Title

now....use pythagorean theorem $\huge a^2 + b^2 = c^2$ $\huge \implies a^2 = c^2 - b^2$ $\huge \implies a = \sqrt{c^2 - b^2}$ got it?

11. SugarRainbow Group Title

yeah okay i think i getting this! okay last thing, what if i get something wierd like cos=0.8?

12. lgbasallote Group Title

0.8 means 8/10

13. lgbasallote Group Title

you turn them into fractions

14. SugarRainbow Group Title

okay so whenever i get a number i think of that number over what gives me that right?

15. lgbasallote Group Title

hmm many word plays but it sounds about right

16. SugarRainbow Group Title

okay cool thank you so much!

17. lgbasallote Group Title

welcome