Question

find sec and csc when tan=3?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

does it make sense now?

Answer 5

yeah okay that makes more sense

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

the hypotenuse is 4 and the adjacent angle is 1?

Answer 10

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?

Answer 11

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

Answer 12

0.8 means 8/10

Answer 13

you turn them into fractions

Answer 14

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

Answer 15

hmm many word plays but it sounds about right

Answer 16

okay cool thank you so much!

Answer 17

welcome