What is the general solution for tan(2x)=-(((30+20)/2))/(80) ?

The general solution for tan(2x)=-(((30+20)/2))/(80) is x=-(0.30288…)/2+(pin)/2

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tan(2x)=-(((30+20)/2))/(80)

tan (2 x) = - \frac{( \frac{30 + 20}{2} )}{80}

x = - \frac{0.30288 \dots}{2} + \frac{πn}{2}

Solution steps

tan (2 x) = - \frac{( \frac{30 + 20}{2} )}{80}

Simplify

- \frac{\frac{30 + 20}{2}}{80} : - \frac{5}{16}

Apply trig inverse properties

2 x = arctan (- \frac{5}{16}) + πn

Solve

2 x = arctan (- \frac{5}{16}) + πn : x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

Show solutions in decimal form

x = - \frac{0.30288 \dots}{2} + \frac{πn}{2}

15 sin^{2} (x) - 22 sin (x) + 8 = 0

1.333 \cdot sin (4 8^{\circ}) = sin (x)

x, y = cos (x^{2})

2 sin (θ) = 2 + 2 cos (θ)

tan (x) = \frac{1.3823}{10.1}

What is the general solution for tan(2x)=-(((30+20)/2))/(80) ?
The general solution for tan(2x)=-(((30+20)/2))/(80) is x=-(0.30288…)/2+(pin)/2