What is the general solution for tan(θ)=(sin(155))/(cos(155)) ?

The general solution for tan(θ)=(sin(155))/(cos(155)) is θ=-0.43633…+180n

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tan(θ)=(sin(155))/(cos(155))

tan (θ) = \frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}

θ = - 0.43633 \dots + 18 0^{\circ} n

Radians

θ = - 0.43633 \dots + πn

Solution steps

tan (θ) = \frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}

Apply trig inverse properties

tan (θ) = \frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}

General solutions for

tan (θ) = \frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

θ = arctan (\frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}) + 18 0^{\circ} n

θ = arctan (\frac{sin ( 15 5 ^{\circ} )}{cos ( 15 5 ^{\circ} )}) + 18 0^{\circ} n

Show solutions in decimal form

θ = - 0.43633 \dots + 18 0^{\circ} n

tan (x) = 22

7 tan (θ) - 7 cot (θ) = 0

2 cos (x) + sin^{2} (x) = 0

2 sin^{2} (θ) tan (θ) - 2 sin^{2} (θ) = 0

15 cos^{2} (θ) + 2 sin^{2} (θ) = 7

What is the general solution for tan(θ)=(sin(155))/(cos(155)) ?
The general solution for tan(θ)=(sin(155))/(cos(155)) is θ=-0.43633…+180n