Question

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

Answer 1

@mayankdevnani

Answer 2

@YumYum247

Answer 3

do you know SOH CAH TOA ?

Answer 4

Any guesses?

Answer 5

yes i know smh can toa i honestly have no idea on this one

Answer 6

like i don't know which terms are adjacent, opposite, or hypotenuse from looking at the unit circle

Answer 7

@mayankdevnani

Answer 8

Well I'm on mobile right now
I can't draw

Answer 9

hold on i think I'm getting it, is opposite square root of 2 over 2, and adjacent the negative version of that?

Answer 10

The longest side is hypotenuse

Answer 11

yes what would the value of the hypotenuse be

Answer 12

Opposite side means side which is straight to angle theta

Answer 13

yes, which would be the y value correct?

Answer 14

do you know what is the value of 3π/4?

Answer 15

In degrees

Answer 16

135?

Answer 17

Correct

Answer 18

so what is that needed for

Answer 19

were my values for opposite and adjacent correct?

Answer 20

We can write it as
π/2+π/4

Answer 21

\[opposite=\frac{ \sqrt{2}}{ 2 }\]

Answer 22

This question is independent of adjacent and opposite aides

Answer 23

*sides lol

Answer 24

I'm confused lol

Answer 25

Just follow my way

Answer 26

okay

Answer 27

So is it correct to write 3π/4=π/2+π/4

Answer 28

for what ?

Answer 29

like why would you write that lol

Answer 30

Lol for making your problem much easier

Answer 31

ok but where are the values from

Answer 32

π/2=90 degrees
π/4=45 degrees

Answer 33

oh okay

Answer 34

Tell me
What is sin(90 +theta)

Answer 35

-sq rt of 2 / 2

Answer 36

what

Answer 37

Remember
Sin(90+theta)=cos theta

Answer 38

yes lol the answer is what i just told you lol

Answer 39

If we plug theta =45 degrees,
Sin(90+45)=sin(135)=cos(45)

Answer 40

oh i thought theta = 135 lol

Answer 41

But with no negative sign

Answer 42

ok

Answer 43

Cos 45=1/√2=√2/2

Answer 44

Similarly, cos (90+theta )=-sin(theta)

Answer 45

Plug theta =45

Answer 46

wouldn't it give the same answer

Answer 47

Yea lol

Answer 48

But this time with negative sign ;-)

Answer 49

Tan theta =sin theta / cos theta

Answer 50

Divide both the values to find out tan 135

Answer 51

-1

Answer 52

Correct

Answer 53

will you make sure cause whenever I'm dividing the things you told me I'm getting opposites for the negatives and I'm doing it on a calculator

Answer 54

135 lies in second quadrant
And sin in second quadrant is positive while cos and tan are negative

Answer 55

okay

Answer 56

so then sin is the positive, cos is the negative, and tan is -1

Answer 57

Yep

Answer 58

is this correct

Answer 59

Gotta go now

Answer 60

Sorry cya later

Answer 61

that is so simple to just say yes ro no lol

Answer 62

You're correct
CLAPS

Answer 63

but it was wrong lol