Find all solutions of the equation Tan(theta - 30 degrees)= -5 in interval 0 - 360 Book gives answers for theta of 131.3 and 311.3

Answer 1

tan(Ø - 30) = -5
we know tan 78.69° = +5
and since the tangent of our given angle of Ø-30 is negative it must be quadrants II or IV

Ø-30 = 180-78.69 = 101.31
Ø = 101.31+30 = 131.3°
ir
Ø-30 = 360 - 78.69 = 281.3
Ø = 311.3°

Answer 2

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