What is the general solution for tan(45+x/3)=0.58 ?

The general solution for tan(45+x/3)=0.58 is x=3*0.52558…+540n-135

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tan(45+x/3)=0.58

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

Solution steps

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

Apply trig inverse properties

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Solve

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n : x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

Show solutions in decimal form

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

r = a (1 + sin (x))

cos (2 x) - sin^{2} (x) - 1 = 3 sin (x)

tan (Θ) = 1.4, 18 0^{\circ} <, Θ < 27 0^{\circ}

(1 + 4 cos (θ))^{2} = (3 sin (θ))

sin (θ) - \frac{cos ( θ )}{5} = 0.6377

What is the general solution for tan(45+x/3)=0.58 ?
The general solution for tan(45+x/3)=0.58 is x=3*0.52558…+540n-135