Find \theta if 0^\circ<\theta<360^\circ and \tan\theta=-3\sqrt{3}

Burhan Hopper

Burhan Hopper

Answered question

2021-08-15

Find θ if 0<θ<360 and tanθ=3333 and θ is in quadrant 2

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-08-16Added 84 answers

Solving by tigonometry ratios
tanθ=3333
tan2θ=(3333)2=27+332+1983=1116+1983
sec2θ=28+1089+1983=1117+1983
tan2θsec2θ=sin2θ=1116+19831117+1983=1458.941459.94=0.99931
sinθ=0.99965
θ=sin1(0.9965)=1.5159
Hence θ=1.5159
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-24Added 2605 answers

Answer is given below (on video)

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