Question

Given: cos x= square root of 2/2

What is sin x and tan x? Explain your steps in complete sentences.

Can someone please help me fast, i'm taking a test rn and I only have like 15 minutes left. Please HELP MEE!!!

Answer 1

@justus

Answer 2

First we need to know what hypotenuse, Adjacent, and Opposite sides are.

Answer 3

sin x = opposite / hypotenuse.

Answer 4

adj = square root (hypotenuse^2 - opposite^2)
adj = square root (2^2 - square root(2)^2)
adj= square root (4 - 2)
adj= square root (2)

Answer 5

this is what i currently did
O=
H=2
Adj=?

Answer 6

Hmm this is the pythagorean theorem.

Answer 7

yes is it not right?

Answer 8

This is not what you asked.

Answer 9

oh well how do you solve it?

Answer 10

the question you asked?

Answer 11

I am almost finished.

Answer 12

ok please try to hurry up i'm in a life or death situation rn

Answer 13

To get your answer

cos x = adjacent / hypotenuse
tan x = opposite / adjacent

add the adjacent and hypotenuse and the opposite side and adjacent

Answer 14

I mean plug them in

Answer 15

i don't understand anything rn can you please do it for me? i would really appreciate if you could

Answer 16

I would love to but I am not allowed to give direct answers.

Answer 17

I literally have like 7 minutes left

Answer 18

can you try and I will tell you if its correct?

Answer 19

ok one sec

Answer 20

sure

Answer 21

is this right?

cos x = 2 / 4=1/2

Answer 22

i don't know how to do tanx

Answer 23

very close, it is actually: cos x = square root (2) / 2 and tan x = 1

Answer 24

I explained above how to get the answer

Answer 25

oh okay but can you help me put them in numbers please

Answer 26

omg i was supposed to find the sin x not the cos x

Answer 27

huh?

Answer 28

oh

Answer 29

is the sin x and cos x the same?

Answer 30

Sin(x) = opposite over hypotenuse

Answer 31

Cos(x) = adjacent over hypotenuse

Answer 32

how do you find the sinx?
and tan x?

Answer 33

Opposite is the square root of 2 and the hypotenuse = 2

H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1

Answer 34

are there options btw?

Answer 35

no it's an open response and the cos x was already given. and I literally did the same thing

Answer 36

Oh

Answer 37

please help me fast i also have an another question to do and i don't have enought time

Answer 38

oh okay just a second

Answer 39

ok

Answer 40

can you also help me do this too?
Using complete sentences, explain the key features of the graph of the sine function.

Answer 41

this is what i did before for the first question

Answer 42

@justus are you still there?

Answer 43

yes im trying to see how to solve it

Answer 44

oh ok please try to hurry up

Answer 45

@justus u still there?

Answer 46

@justus just tell me how to find tan x

Answer 47

tan x its sin divided by its cosine: tan x = sin x cos x .

Answer 48

I answere d the first question
Can you please help me answer this?


Using complete sentences, explain the key features of the graph of the sine function.

Answer 49

hopefully this helps you figure it out https://www.mathsisfun.com/sine-cosine-tangent.html