What is the general solution for tan(x)= 45/67 ?

The general solution for tan(x)= 45/67 is x=0.59143…+pin

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tan(x)= 45/67

tan (x) = \frac{45}{67}

x = 0.59143 \dots + πn

Degrees

x = 33.88695 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{45}{67}

Apply trig inverse properties

tan (x) = \frac{45}{67}

General solutions for

tan (x) = \frac{45}{67}

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

x = arctan (\frac{45}{67}) + πn

x = arctan (\frac{45}{67}) + πn

Show solutions in decimal form

x = 0.59143 \dots + πn

k, 1.5 = 6 (- cos (\frac{k}{2}) + 1)

cos (t) = sin (2 t)

2 cos^{2} (x) = 1 - cos^{2} (x)

4 + 2 cos (2 x) = 6 cos (x)

cos (x) - tan (x) cos (x) = 0

What is the general solution for tan(x)= 45/67 ?
The general solution for tan(x)= 45/67 is x=0.59143…+pin