What is the general solution for tan(x)= 45/35 ?

The general solution for tan(x)= 45/35 is x=0.90975…+pin

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tan(x)= 45/35

tan (x) = \frac{45}{35}

x = 0.90975 \dots + πn

Degrees

x = 52.12501 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{45}{35}

Cancel the common factor:

5

tan (x) = \frac{9}{7}

Apply trig inverse properties

tan (x) = \frac{9}{7}

General solutions for

tan (x) = \frac{9}{7}

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

x = arctan (\frac{9}{7}) + πn

x = arctan (\frac{9}{7}) + πn

Show solutions in decimal form

x = 0.90975 \dots + πn

3 (2 sin (x) - 2) \cdot (4 cos (x) - 2) = 0

0 = \frac{1}{3} \cdot cot (- 4 θ)

\frac{62 5 ^{c o s^{2} (x)}}{2 5 ^{c o s (x)}} = 1

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

2 cos (x) - 3 sec (x) = 5

What is the general solution for tan(x)= 45/35 ?
The general solution for tan(x)= 45/35 is x=0.90975…+pin