SOLUTION: Solve for x/theta
a) 12 sin^2(theta) - 7sin(theta) + 1 =0
b) 1/x = 1/a +1/b
c) (x^2) - 3/x^2 = 2
Algebra.Com
Question 1127165: Solve for x/theta
a) 12 sin^2(theta) - 7sin(theta) + 1 =0
b) 1/x = 1/a +1/b
c) (x^2) - 3/x^2 = 2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a) (4 sin x-1)(3 sin x -1)=0
sin x=(1/4) or 1/3
x=.25 radians or .34 radians
b) multiply by xab
ab=bx+ax
factor the x out
ab=x(a+b)
x=ab/(a+b)
c)multiply all by x^2
x^4-2x^2-3=0, after moving the 2 to the left
factor
(x^2-3)(x^2+1)=0
x=+/- sqrt (3) and +/- i. Must check these answers, and they both work.
RELATED QUESTIONS
prove sin^2 (theta)
a. 1
b. cos^2 (theta)
c. 1+ cos^2 theta
d.1- cos^2... (answered by stanbon)
establish each identity
A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta
(answered by solver91311)
When tan(theta) + sec(theta) = x show that sin(theta) = (x^2-1)/(x^2+1) (answered by Edwin McCravy)
find possible values for theta between 0 less than or equal to x less than 360.... (answered by stanbon)
If x/a cos theta= y/b sin theta and ax/cos theta - by/ sin theta =a^2 – b^2 show that... (answered by ikleyn)
find the exact value of each.
a. cos(theta)/2 if sin(theta)=12/13 and... (answered by Nate)
if a sin^3 theta+b cos^3 theta=sin theta cos theta and a sin theta-b cos theta =0 then... (answered by mananth)
Solve for theta 0 degrees < theta < 360 degrees.... (answered by solver91311,lwsshak3)
Which expression is NOT equivalent to 1?
a) sin^2(theta)+cot^2(theta)sin^2(theta)
b)... (answered by Alan3354)