Question

find all the other functions of θ if it is in the quadrant indicated .
1. SIN θ =4/5 (1ST QUADRANT)
2. COS θ = -12/13 (3RD QUADRANT)
3. COT θ = 4/3 (3RD QUAD)
4. SEC θ = -5/3 (3RD QUAD)
5. SIN θ = 7/25 (2ND QUAD)

Answer 1

You mostly have to use \[\sin^2(x) + \cos^2(x) = 1\]
to find the missing one, as well as \[\tan(x) = \sin(x)/\cos(x)\]

Answer 2

so how do i know what's the answer i be looking on google but cant find any idea

Answer 3

I gave you the process with which you can find the missing one (simply replace sinx = 4/5 and solve for cos(x), for instance). You obviously have to know the definitions of each trig function too...

Answer 4

cosx=3/5

Answer 5

tanx=4/3

Answer 6

I will give you one example, but you must work out the rest yourself.

sinx = 4/5, and we are in the first quadrant. Using
\[\sin^2(x) + \cos^2(x) = 1 <=>(4/5)^2 + \cos^2(x) = 1 <=> \cos(x) = +/- \sqrt{1 -(4/5)^2}\] = +/- 3/5
Because we are in the first quadrant, the cosine is positive, so the solution is + 3/5

Answer 7

cos

Answer 8

yeah + or - 3/5

Answer 9

if it is in 1st quadrant it is positive right?

Answer 10

yeah but just in case if quad not given then u should write +or-

Answer 11

ok so hav u got it?

Answer 12

in the end i will use phytagorean theorem? then can i use calculator?

Answer 13

no need to use calc. please dont use it is very bad to use a calculator

Answer 14

The calculator is not needed for these, only the definitions of each trigonometric function, and the 2 identities which I gave you

Answer 15

Please read my posts carefully, it feels like you're skipping them.

Answer 16

yeah ringlum is right and his sols. are also right please read them

Answer 17

and btw if there are any Arsenal F.C fans please join my group 'Arsenal'

Answer 18

so if i feel no.1 and no.2 solution is the same?

Answer 19

because sin^2 (x) + cos ^2(x) = 1 right?

Answer 20

he just used the identities of his first post to write the sol. in his second post

Answer 21

yeah

Answer 22

waitin sis

Answer 23

(what I wrote applies to the first, number 1, you must do the same process or similar for each of the other ones)

Answer 24

-12/13 + sin^ (x) = 1 sin x =