Question

Find tan Θ if sin Θ 1/4 and falls in Quadrant 1.

Answer 1

Ok so you have two clues here. Let's start with the sine value. What sides of a triangle is sine the ratio of?

Answer 2

idk. all i know is how to set up the problem and thats

sin^2Θ+cos^2Θ=1

Answer 3

No not really.... Have you ever heard of SOH CAH TOA?

Answer 4

But using that forumla is how i'm supposed to solve it...

Answer 5

Well it's a long way to go about it but ok. So if sin theta = 1/ 4 what is sine squared?

Answer 6

1/16

Answer 7

Good so now substitute that value into the Pyth. Identity and solve for Cos squared...What do you get?

Answer 8

cos^2Θ=15/16

Answer 9

Yep so that means there are two possible values for cos theta... what are those possibilities?

Answer 10

the square root of 15/16

Answer 11

Well what is that when it is in proper form?

Answer 12

and not quite because there are 2 possible values