What is the general solution for tan(x)= 56/91 ?

The general solution for tan(x)= 56/91 is x=0.55165…+pin

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tan(x)= 56/91

tan (x) = \frac{56}{91}

x = 0.55165 \dots + πn

Degrees

x = 31.60750 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{56}{91}

Cancel the common factor:

7

tan (x) = \frac{8}{13}

Apply trig inverse properties

tan (x) = \frac{8}{13}

General solutions for

tan (x) = \frac{8}{13}

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

x = arctan (\frac{8}{13}) + πn

x = arctan (\frac{8}{13}) + πn

Show solutions in decimal form

x = 0.55165 \dots + πn

x, tan (x) = cot (x)

arccos (x) = \frac{5}{6}

5 cos (x) = - 2 sin^{2} (x) + 4, 0 \leq x \leq 2 π

4^{\frac{1}{3}} sec (x) = 4 (\frac{1}{4 ^{\frac{1}{3}}}) csc (x)

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

What is the general solution for tan(x)= 56/91 ?
The general solution for tan(x)= 56/91 is x=0.55165…+pin