What is the general solution for tan(x)= 7/2 ?

The general solution for tan(x)= 7/2 is x=1.29249…+pin

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tan(x)= 7/2

tan (x) = \frac{7}{2}

x = 1.29249 \dots + πn

Degrees

x = 74.05460 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{7}{2}

Apply trig inverse properties

tan (x) = \frac{7}{2}

General solutions for

tan (x) = \frac{7}{2}

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

x = arctan (\frac{7}{2}) + πn

x = arctan (\frac{7}{2}) + πn

Show solutions in decimal form

x = 1.29249 \dots + πn

6 cos^{2} (2 x) + 10 cos (4 x) = 12.05718

cos (\frac{θ}{2}) = \frac{1 + \frac{3}{5}}{2}

cos (θ) = \frac{35}{37}

- \frac{π}{2} = 1 - 2 sin (x)

sin (θ) = - 0.2761

What is the general solution for tan(x)= 7/2 ?
The general solution for tan(x)= 7/2 is x=1.29249…+pin