Question

Solve sin(x + (π / 4)) – sin(x – (π / 4) = 1 (Be sure to show all of your work.)

Will give medal & fan if someone walks me through this problem

Answer 1

@whpalmer4 @jim_thompson5910 @Hero can any of you help?

Answer 2

or you lol

Answer 3

did you try using the sum and difference identity for sin?

Answer 4

\[\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)\]

Answer 5

I tried but I just don't understand how that ties into the equation and whatnot

Answer 6

well you have sin(x+pi/4)
that is a sum inside so you can totally use the identity

Answer 7

something might cancel
you might make something ugly look a lot nicer

Answer 8

I think you also need the corresponding \(\sin(a-b) = \sin(a)\cos(b) - \sin(b)\cos(a)\)

Answer 9

yep
I just wrote down one of them
because you also just use just the sum identity

Answer 10

although I guess it's 6 of 1, half dozen of the other

Answer 11

along with knowing sin is odd function and cos is even function

Answer 12

I just got even more confused ):

Answer 13

I just need everything explained to me step by step so I can write it own for future problems

Answer 14

you said you tried to use those identities
can i see what you got after using them?

Answer 15

I didn't "try" to use them as much as look at the identities and the equation and become confuse

Answer 16

*confused

Answer 17

I really just want it in a step-by-step explanation because I don't understand much of it, and seeing it played out step by step is what helps me learn these things.

Answer 18

I will work with you if you are willing to answer my questions as we go along with solving the problem. I will not just give you the answer though. I don't see how me just squirting out the answer would be of much help.
I want you to tell me how to use the sum identity on sin(x+pi/4)

Answer 19

it really is most useful to stumble around a few times while doing these, to get a feel for how to do it...

Answer 20

and how not to do it :-)

Answer 21

I didn't ask you to give me the straight up answer, but I'm just saying I'm already not going to understand anything you ask me.. I'll try to answer them the best I can though

Answer 22

ok first question
can you use the sum identity for sin on
sin(x+pi/4)


the identity is sin(a+b)=sin(a)cos(b)+sin(b)cos(a)

Answer 23

yes..? I would guess so

Answer 24

Ok will you do it

Answer 25

That's the problem, first off: do what? and second: Whatever it is, I don't know how to do it /:

Answer 26

In this drawing if I wanted these two things to be equal
what would a need to be and what would b need to be?