What is the general solution for -tan(x)=3.465 ?

The general solution for -tan(x)=3.465 is x=-1.28983…+pin

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-tan(x)=3.465

- tan (x) = 3.465

x = - 1.28983 \dots + πn

Degrees

x = - 73.90184 \dots^{\circ} + 18 0^{\circ} n

Solution steps

- tan (x) = 3.465

Divide both sides by

- 1

- tan (x) = 3.465

Divide both sides by

- 1

\frac{- tan ( x )}{- 1} = \frac{3.465}{- 1}

Simplify

tan (x) = - 3.465

tan (x) = - 3.465

Apply trig inverse properties

tan (x) = - 3.465

General solutions for

tan (x) = - 3.465

tan (x) = - a \Rightarrow x = arctan (- a) + πn

x = arctan (- 3.465) + πn

x = arctan (- 3.465) + πn

Show solutions in decimal form

x = - 1.28983 \dots + πn

3 cos^{2} (x) - sin (x) + 1 = 0

cos^{2} (x) + sin^{2} (x) + sin (x) = \frac{1}{2}

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

tan^{2} (b) = 3

a, sin (a + \frac{b}{2}) = cos (\frac{c}{2})

What is the general solution for -tan(x)=3.465 ?
The general solution for -tan(x)=3.465 is x=-1.28983…+pin