SOLUTION: solve the equation for 0◦≤ x ≤ 360◦ 4-sin theta= 4 cos ^2 theta. sorry kind of confused but think it has something to do with sin^2 theta + cos^2 theta=1 an
Algebra.Com
Question 784704: solve the equation for 0◦≤ x ≤ 360◦ 4-sin theta= 4 cos ^2 theta. sorry kind of confused but think it has something to do with sin^2 theta + cos^2 theta=1 and therefore cos^2 theta=1-sin^2 theta. does this mena that 1-sine theta= 4(1-sin^2theta)? thank you :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the equation for 0◦≤ x ≤ 360◦ --
----
4-sin(theta) = 4 cos^2(theta).
---------
Substitute for cos^2(theta):::
---------
4 - sin(theta) = 4[1-sin^2(theta)]
---------
4 - sin(theta) = 4 - 4sin^2(theta)
-----
4sin^2(theta) - sin(theta) = 0
-----
Factor:
sin(theta)[4sin(theta) - 1] = 0
-----
sin(theta) = 0 or 4sin(theta) = 1
------
sin(theta) = 0 or sin(theta) = 1/4
------
theta = 0 or 180 or 360 or 14.47 degrees or 165.52 degrees
Cheers,
Stan H.
================
---------
RELATED QUESTIONS
Solve the equation sin(theta)+cos(theta)= 2(sin(theta)- cos(theta)), for 0 (answered by lwsshak3,KMST)
Solve the following equation for x for 0 ≤ x ≤ 360
5 (sin)^2 x + 9 cos x... (answered by Alan3354)
solve the equation for 0 ≤ theta ≥ 2pi. write your answer as multiple of pi,... (answered by stanbon)
A)write the equation cos(2 theta)-sin(theta)=0 in terms of sin (theta)
B) Hence solve... (answered by stanbon)
solve equation for solution (0 deg, 360 deg) 4 cos ^2 theta +4 cos theta = 1.
I used... (answered by lwsshak3)
Hi,
I'm very lost. The direction said to find the exact value of Θ in the interval (answered by stanbon)
Solve for theta 0 degrees < theta < 360 degrees.... (answered by solver91311,lwsshak3)
solve algebraically for all values of theta in the interval 0-360 that satisfy the... (answered by lwsshak3)
Find all values of x between 0◦ and 360◦ where 200 sin x =... (answered by fractalier)