What is the general solution for 7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90 ?

The general solution for 7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90 is x=30

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7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90

7 tan (x) = 23 + tan (x), 0^{\circ} \leq θ \leq 9 0^{\circ}

x = 3 0^{\circ}

Solution steps

7 tan (x) = 23 + tan (x), 0^{\circ} \leq θ \leq 9 0^{\circ}

Solve by substitution

tan (x) = \frac{3}{3}

tan (x) = \frac{3}{3}, 0 \leq θ \leq 9 0^{\circ} : x = 3 0^{\circ}

Combine all the solutions

x = 3 0^{\circ}

sin (X) = 1

x, \frac{17}{sin ( x )} = \frac{23}{sin ( 7 5 ^{\circ} )}

3 - 2 cos^{2} (x) = 4 sin^{2} (x)

4 - 4 cos (2 x) - 3 sin (x) = 0

2 sin^{2} (w) + sin (w) - 1 = 0

What is the general solution for 7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90 ?
The general solution for 7tan(x)=2sqrt(3)+tan(x),0<= θ<= 90 is x=30