What is the general solution for tan(x)= 80/90 ?

The general solution for tan(x)= 80/90 is x=0.72664…+pin

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tan(x)= 80/90

tan (x) = \frac{80}{90}

x = 0.72664 \dots + πn

Degrees

x = 41.63353 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{80}{90}

Cancel the common factor:

10

tan (x) = \frac{8}{9}

Apply trig inverse properties

tan (x) = \frac{8}{9}

General solutions for

tan (x) = \frac{8}{9}

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

x = arctan (\frac{8}{9}) + πn

x = arctan (\frac{8}{9}) + πn

Show solutions in decimal form

x = 0.72664 \dots + πn

- \frac{5}{4} = cos (x)

sin (2 x) = cos^{2} (x)

4 cos^{2} (x) - 11 cos (x) + 6 = 0

tanh (x) = 0.99

3 cos (3 0^{\circ}) + 4 cos (y) = 3

What is the general solution for tan(x)= 80/90 ?
The general solution for tan(x)= 80/90 is x=0.72664…+pin