SOLUTION: please help me solve this trigonometric equation: sec(theta) = tan(theta) + cot(theta)

Question 294211: please help me solve this trigonometric equation: sec(theta) = tan(theta) + cot(theta)
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I don't think that is true.
Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sec(theta) = tan(theta) + cot(theta)
----------------------------------
Multiply by cos
1 = sin + (cos^2)/sin
1 = sin + (1-sin^2)/sin
sin = sin^2 + 1 - sin^2
sin = 1
theta = 90 degs
theta = pi/2 + 2n*pi, n = 0,1,2,...
But, all 3 terms, sec, tan and cot are undefined at 90 degs, so there's no solution.
----------
infinity = infinity + infinity
RELATED QUESTIONS
please help me to solve this equation : 3 ( SEC THETA - TAN THETA)= 2 COS THETA (answered by Alan3354)
Please help me solve for sin(theta) 1. cot(theta)=-1/5, (theta) is in quadrant IV 2.... (answered by stanbon)
Please help me solve this problem. Solve the equation on the interval 0<= theta < 2... (answered by lwsshak3)
Please help me solver this last few problems: tan^(2)(θ)+5=sec^(2)(θ)+4 tan... (answered by Alan3354)
Please help me verify this equation: cot^2 theta-cos^2 theta= (cot^2 theta) (cos^2... (answered by lwsshak3)
please help me verify using identities: ((sec theta - tan theta)^2 +1)/(sec theta csc... (answered by lwsshak3)
Please help me solve this equation: if sec theta= radical 5, then cos theta... (answered by Alan3354)
Please help me answer this question: For all valuesof "theta", the expression... (answered by stanbon)
How to solve the following: sin theta cot^2 theta sec ^2 theta = ? Answers: a)sec... (answered by lwsshak3)