Question

help! can u solve: 9+3tanӨ = 3 tan(sq) Ө +1

Answer 1

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Answer 2

this is a quadratic equation:
arrange them first in higher order like y=Ax^2 + Bx + C

9+3tanӨ = 3 tan(sq) Ө +1
0=3 tan(sq) Ө -3tanӨ -9+1
0=3 tan(sq) Ө -3tanӨ -8, now use the quadratic formula
a=3 b= -3 c= -8

-b + sqrt(b^2 - 4 ac
X= --------------------
2a

-(-3) + srt( 3^2 - 4(3)(-8))
tan D = -----------------------------
2(3)
tan D+ = 2.2078251 calculator and
D+ = 1.1455 radians or 65.63 degrees

-(-3) - srt( 3^2 - 4(3)(-8))
tan D = -----------------------------
2(3)

tan D-=- 1.207825128 calc

D = arc tan(-1.207825128) = -0,87925 radian =-50.377 degree