Solving Trig Equations: Sin/Tan | Tutorial & Working

[Rudders]

Hi,

I'm just stumped on how to solve the following type of trig equation. Could someone show working / a tutorial on how to solve similar equations. I'm fine with simple ones like: 4 + sinx = 3 , but this style has me stumped:

sin(x + 30) = 1
or

tan(x + 45) = 1

Thanks!

 

[Gib Z]

Try letting u = x + 30 in the first one, or u= x+45 in the second one. Then, solve it just like you are used to and you attain your values for u. You know the relation between u and x, easy. =]

EDIT: I didn't realize this wasn't the homework forum when I posted. From now on, please only ask homework style questions in the Homework Help forum.

 

[HanQing]

sin(x + 30) = 1

( x + 30 ) = 90

x = 90 - 30

x = 60

 

[ImAnEngineer]

sin(x + 30) = 1

( x + 30 ) = 90

x = 90 - 30

x = 60

x = 60 + 2k pi

edit: oh wait, in degrees that is:
x = 60 + 360k

Where k is any whole number.

Because sine is repetitive every 360 deg or 2pi rad.

 

[HanQing]

x = 60 + 2k pi

edit: oh wait, in degrees that is:
x = 60 + 360k

Where k is any whole number.

Because sine is repetitive every 360 deg or 2pi rad.

opps yea you are right ,forgot to include that =.=