What is the general solution for tan(x)=(7.1)/5 ?

The general solution for tan(x)=(7.1)/5 is x=0.95724…+pin

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tan(x)=(7.1)/5

tan (x) = \frac{7.1}{5}

x = 0.95724 \dots + πn

Solution steps

tan (x) = \frac{7.1}{5}

Apply trig inverse properties

x = arctan (\frac{7.1}{5}) + πn

Show solutions in decimal form

x = 0.95724 \dots + πn

cos^{2} (x) + 3 sin (x) - 3 = 0

sin (2 θ) = - \frac{1}{2}, θ \geq 0

tan (x) = \frac{1}{3}, 0 \leq x \leq 2 π

2 sin (x) + 2 = 3 cos^{2} (x)

4 sin (2 x) + 5 cos (2 x) = 0

What is the general solution for tan(x)=(7.1)/5 ?
The general solution for tan(x)=(7.1)/5 is x=0.95724…+pin