SOLUTION: solve the following equation for theta, 0<theta<360, rounded to the nereast tenth of a degree.
2cos theta=5+6/cos theta
1.{27.6°}
2.{27.6°, 332.4°}
3.{152.4°, 207.6°}
4.
Algebra ->
Trigonometry-basics
-> SOLUTION: solve the following equation for theta, 0<theta<360, rounded to the nereast tenth of a degree.
2cos theta=5+6/cos theta
1.{27.6°}
2.{27.6°, 332.4°}
3.{152.4°, 207.6°}
4.
Log On
You can put this solution on YOUR website! solve the following equation for theta,
2cos theta=5+6/cos theta
------
2*cos(t) = 5 + 6/cos(t)
-----
2cos^2(t = 5cos(t) + 6
-----
2cos^2(t) - 5*cos(t) - 6 = 0
--------------------------------------
cos(t) = [5 +- sqrt(25-4*2*-6)]/4
----
cos(t) = [5 +- sqrt(73)]/4
Comment:: Both cos(t) value are extraneous
-----------
Cheers,
Stan H.
---
t = invcos(-1.18
1.{27.6°}
2.{27.6°, 332.4°}
3.{152.4°, 207.6°}
4. 2 and 3