What is the general solution for 3tan(A)+sqrt(5)=0 ?

The general solution for 3tan(A)+sqrt(5)=0 is A=-0.64052…+pin

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3tan(A)+sqrt(5)=0

3 tan (A) + 5 = 0

A = - 0.64052 \dots + πn

Degrees

A = - 36.69922 \dots^{\circ} + 18 0^{\circ} n

Solution steps

3 tan (A) + 5 = 0

Move

5

to the right side

3 tan (A) + 5 = 0

Subtract

5

from both sides

3 tan (A) + 5 - 5 = 0 - 5

Simplify

3 tan (A) = - 5

3 tan (A) = - 5

Divide both sides by

3

3 tan (A) = - 5

Divide both sides by

3

\frac{3 tan ( A )}{3} = \frac{- 5}{3}

Simplify

tan (A) = - \frac{5}{3}

tan (A) = - \frac{5}{3}

Apply trig inverse properties

tan (A) = - \frac{5}{3}

General solutions for

tan (A) = - \frac{5}{3}

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

A = arctan (- \frac{5}{3}) + πn

A = arctan (- \frac{5}{3}) + πn

Show solutions in decimal form

A = - 0.64052 \dots + πn

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

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)

What is the general solution for 3tan(A)+sqrt(5)=0 ?
The general solution for 3tan(A)+sqrt(5)=0 is A=-0.64052…+pin