SOLUTION: Solve for all solutions between 0 and 360 degrees. Round the solution to the nearest tenth of a degree.
{{{tan^2(x)= 1+sec(x)}}}
Thank you!
Algebra.Com
Question 1117815: Solve for all solutions between 0 and 360 degrees. Round the solution to the nearest tenth of a degree.
Thank you!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 1\ +\ \sec(x))
}{\cos^2(x)}\ =\ 1\ +\ \frac{1}{\cos(x)})
}{\cos^2(x)}\ =\ \frac{\cos(x)\ +\ 1}{\cos(x)})
\ =\ \frac{\cos^3(x)\ +\ \cos^2(x)}{\cos(x)})
\ =\ \cos^2(x)\ +\ \cos(x))
\ =\ \cos^2(x)\ +\ \cos(x))
\ +\ \cos(x)\ -\ 1\ =\ 0)
Let )
(u\ -\ 1)\ =\ 0)
\ =\ -\frac{1}{2})
\ =\ 1)
Hence
)
)
Now all you need is the two angles in the desired interval that have a cosine value of negative one-half. Then you have to decide whether the stated interval is inclusive of the low end, the high end, both, or neither.
In other words, does the phrase "between 0 and 360 degrees" mean
or
Because in the first case:
\ \ )
Does not exist
In the second case:
\ =\ 0^\circ)
In the third case:
\ =\ 360^\circ)
And in the fourth case:
\ =\ 0^\circ\ \ )
or \ =\ 360^\circ)
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Solve for all solutions between 0 and 360 degrees. Round the solution to the nearest... (answered by Alan3354)
solve for all values of θ for = the < 360 degrees, that satisfy the equation sec ^2... (answered by stanbon)
SOLVE EACH EQUATION, WHERE 0 DEGREES (< OR = TO) X < 360 DEGREES. ROUND APPROXIMATE... (answered by Edwin McCravy)
Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is... (answered by stanbon)
Solve each equation for solutions over the interval [0 degrees, 360 degrees) . Give... (answered by lwsshak3)
Solve for the exact solutions over the interval (0°, 360°]
Round to the nearest tenth... (answered by Fombitz)
Find all values of x between 0 and 360 degrees that satisfy the equation... (answered by lwsshak3)
Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is... (answered by ikleyn)
find all solution in degrees if 0 < x <360
sin(theta)=3cos(theta)
round answers or... (answered by lwsshak3)