Asked by Natasha
find to the nearest minute, all positive values in the interval 0° ≤ θ < 180° that satisfy the equation 2 tan^2 θ - tan θ = 3
Answers
Answered by
MathMate
Substitute t=tan(&theta)
and rewrite the equation as:
2t²-t-3=0
which factorizes to
(2t-3)(t+1)=0
Solve for values of t, and find the solutions for θ.
Note: 1 degree = 60 minutes.
and rewrite the equation as:
2t²-t-3=0
which factorizes to
(2t-3)(t+1)=0
Solve for values of t, and find the solutions for θ.
Note: 1 degree = 60 minutes.
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