Anyone here good in trig?

1105

I AM the random post master...bow down
May 3, 2003
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Need some help with solving trig equations and giving all solutions... My professor is very smart, but completly stupid when it comes to teaching the material so I need some help... Please only people who know what they are doing... No BSing since this is for a grade.

2cos^2(x)-1=0

tan(x)sin(x)+sin(x)=0

2sin^2(x)-sin(x)=1
 
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Jeezus christ I just had a major test on ****ing identites. They suck major ass.
We didn't have to do things like that, just prove that they were equal. Like
1-sin = csc or some **** like that.
 
1105 said:
Need some help with solving trig equations and giving all solutions... My professor is very smart, but completly stupid when it comes to teaching the material so I need some help... Please only people who know what they are doing... No BSing since this is for a grade.

2cos^2(x)-1=0

2cos^2(x) = -1

cos^2(x) = -1/2

cos(x) = -1/root2

x = -PI/4

1105 said:
tan(x)sin(x)+sin(x)=0

tan(x)sin(x) = -sin(x)

tan(x) = -1

x = -PI/4

1105 said:
2sin^2(x)-sin(x)=1

2sin(x) - 1 = 1/sin(x)

:shrug: forgot my trig identities
 
proving idenities sucks, but solving for them is a whole different story :notnice: Scot, thanks for the help

when finding the magnitude of vector 4+3i, the answer the square root of (16-9) right?
 
1105 said:
when finding the magnitude of vector 4+3i, the answer the square root of (16-9) right?

hmmm.. I remember vetors (in physics type classes) having an i,j, and k component...referring to the x,y and z axes respectively. So if the vector was 4i + 3j, then the magnitude would be root(16+9). So I'm not sure where the 4+3i is coming in...unless they are talking about real and imaginary numbers...where the real numbers are the x axis, and the imaginary numbers are the y axis...in which case the magnitude of 4+3i would be root(16+9).
 
Scot_94GT said:
2cos^2(x) = -1

2cos^2(x)-1=0
cos^2(x) = -1/2
cos(x) = -1/root2
x = -PI/4
Should be +pi/4
2cos^2(x)-1=0
2cos^2(x)=1
cos^2(x)=(1/2)
cos(x)=+-(1/sqrt(2))
x=pi/4, 3pi/4, 5pi/4, 7pi/4

tan(x)sin(x) = -sin(x)
tan(x) = -1
x = -PI/4 AKA 7pi/4
I agree

2sin(x) - 1 = 1/sin(x)
:shrug: forgot my trig identities

Factor it.
2sin^2(x)-sin(x)=1
2sin^2(x)-sin(x)-1=0
(2sin(x)+1)(sin(x)-1)=0
2sin(x)+1=0
sin(x)=-(1/2)
x=7pi/6, 11pi/6
sin(x)-1=0
sin(x)=1
x=pi/2
 
let it continue :)

modulus of z=-3+5i... would that be squareroot of ( -3squared + 5squared)?

write the complex numbers in trigonometric form with argument theta between 0 and 2pi

-12i

4(squareroot(3-4i))
 
Nagash01WS6, has his **** down, except for the potential value of this stuff, depending on your major... now i'm only lower division electrical engineering but we use this stuff all the time

1105, when you need the magnitude, you take the square root of both the x^2 + y^2 variables: so magnitude of vector 4+3i = 5 bc sqrt(4^2 + 3^2) = sqrt25 = 5