SOLUTION: "solve the following trigonometric eqaution for the given domain (cont.)":
can someone show me how to solve the below eqautions and explain them to me? thanks.
i dont understand
Algebra.Com
Question 48064: "solve the following trigonometric eqaution for the given domain (cont.)":
can someone show me how to solve the below eqautions and explain them to me? thanks.
i dont understand what you have to do with the "x" and a lot of other things. please help thank you.
a.) sin 3x = ....for all x
b.) tan 2x= 0 ....on [,]
c.) secx= 2......for all x
d.) sin^2 x + sin x=0....on [0,2]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a.) sin 3x = (sqrt3)/2 ....for all x
The reference angle that has this sin value is pi/3
The sin is positive in the 1st and 2nd Quadrants.
So, looking at all x, 3x= pi/3+2npi or 3x=(2/3)x+2npi
Then x=pi/9 + (2/3)npi or x= (pi/9)x+(2/3)npi
------------------------------------------------
tan 2x= 0 ....on [pi/2,3pi/2]
The reference angle whose tan value is 0 is 0 and pi
So, looking at the given interval 2x=pi and x=pi/2
--------------------------------------------------
c.) secx= 2......for all x
The reference angle for sec value of 2 is pi/3
The sec is positive in the 1st and 4th quadrants.
so, looking at all x, x=pi/3 + 2npi or x=(5/3)pi + 2npi
-----------------------------------------------
d.) sin^2 x + sin x=0....on [0,2pi]
sinx(sinx+1)=0
sinx=0 or sinx=-1
sinx=0 on the interval when x=0, or x=pi, or x=2pi
sinx=-1 on the interval when x=(3/2)pi
------------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Can someone help me please??...
the question asks to solve the eqaution for x... (answered by fractalier)
Can someone show me how to solve the following equation for "x"? thanks.
{{{y/(x+1)=... (answered by Nate)
Please help me. Solve the following literal eqaution for x.
{{{(5a)/(x)=... (answered by sdmmadam@yahoo.com)
Can someone show me how to solve the following 2 questions:
4^x-6=16^x
and... (answered by Fombitz)
Hi all, Hopefully someone can show me how to do the following.
Given g(x) = sqrt(x - 1), (answered by stanbon)
Solve the following eqaution:
4(x-6)=80
Thank... (answered by trippin on trig)
Can someone help me solve this problem?
I need to solve the following equation for... (answered by stanbon)
Can someone show me how to solve using the addition and multiplication principles?
2... (answered by MathLover1,stanbon)
Solve the following trigonometric equation for... (answered by greenestamps,ikleyn)