SOLUTION: Given that 3cos(x) + 2sec(x) + 5 = 0, find all the possible values of cosx and tan^2(x). I found the possible values of cos(x) which are -2/3 and -1 but I couldn't find the values
Algebra.Com
Question 1029359: Given that 3cos(x) + 2sec(x) + 5 = 0, find all the possible values of cosx and tan^2(x). I found the possible values of cos(x) which are -2/3 and -1 but I couldn't find the values for tan^2(x).
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==>
==>
Assuming , we get
secx = -3/2, or secx = -1
==> , or .
==> , or .
Incidentally, when the value of tangent squared is 5/4 or 0, , hence these are the two valid values for .
RELATED QUESTIONS
Find the possible values of sinθ and tanθ, given that cosθ=... (answered by solver91311)
Find all the values of x in [0,2π] that satisfy (cosx)^2... (answered by jim_thompson5910)
If cos θ=-5/13 and 0≤x ≤2 π, determine:
a) tan θ
b) sec... (answered by stanbon)
Cos^2 x=2-cosx
Solve the equation for all real values of... (answered by stanbon)
Given the equation... ax˛-bx=0 find two possible values of x.
x=_____ or x=_____... (answered by Earlsdon)
Find the maximum and minimum values of each given function and state the corresponding... (answered by ikleyn)
Find all solutions of each equation on the interval 0<=x<=2pie... (answered by Alan3354)
Suppose that x is a random variable with the possible values 1,2,and 3. Given that... (answered by robertb)
Find all values of x in the interval [0, 2π] that satisfy the given equation.... (answered by DrBeeee)