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Original Question
Find all solutions of the equation in the interval [0,2pi). sec(theta)+2=0 Write your answer in radians in terms of piQuestion
Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=0.
Write answer in radians in terms of pi.
Write answer in radians in terms of pi.
Answers
Steve
2sinθ+1 = 0
2sinθ = -1
sinθ = -1/2
sin π/6 = 1/2, so using that as a reference angle in QIII and QIV, we get the solutions
π + π/6 and 2π - π/6
2sinθ = -1
sinθ = -1/2
sin π/6 = 1/2, so using that as a reference angle in QIII and QIV, we get the solutions
π + π/6 and 2π - π/6