What is the general solution for tan(A)=-3/(sqrt(91)) ?

The general solution for tan(A)=-3/(sqrt(91)) is A=-0.30469…+pin

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tan(A)=-3/(sqrt(91))

tan (A) = - \frac{3}{91}

A = - 0.30469 \dots + πn

Solution steps

tan (A) = - \frac{3}{91}

Simplify

- \frac{3}{91} : - \frac{3 91}{91}

- \frac{3}{91}

Multiply by the conjugate

\frac{91}{91}

= - \frac{3 91}{91 91}

9191 = 91

9191

Apply radical rule:

a a = a

9191 = 91

= 91

= - \frac{3 91}{91}

tan (A) = - \frac{3 91}{91}

Apply trig inverse properties

tan (A) = - \frac{3 91}{91}

General solutions for

tan (A) = - \frac{3 91}{91}

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

A = arctan (- \frac{3 91}{91}) + πn

A = arctan (- \frac{3 91}{91}) + πn

Show solutions in decimal form

A = - 0.30469 \dots + πn

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

sin (3 θ) = - \frac{2}{2}

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

3 tan (15 x^{5}) + 1 = 0

4 cos (θ) - 3 sec (θ) = 0

What is the general solution for tan(A)=-3/(sqrt(91)) ?
The general solution for tan(A)=-3/(sqrt(91)) is A=-0.30469…+pin