SOLUTION: Find all solutions of each equation on the interval [0, 360) Tanx + 1 = Secx π = pie A.(π/2),(3π/2) B. 0 C.(3π/2) D. π

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of each equation on the interval [0, 360) Tanx + 1 = Secx π = pie A.(π/2),(3π/2) B. 0 C.(3π/2) D. π      Log On


   

Question 532241: Find all solutions of each equation on the interval [0, 360)
Tanx + 1 = Secx
π = pie
A.(π/2),(3π/2)
B. 0
C.(3π/2)
D. π
Answer by solver91311(24713) About Me  (Show Source):
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Use the definitions of tangent and secant:



Add the fractions in the LHS:



Equate the numerators for the equal denominators:





Square both sides:



Pythagorean Identity:



Collect terms in the LHS:



Factor



So



or



But going back to the original equation, is in the denominator, so discard the root.



John

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