What is the general solution for tan(x)= 15/12 ?

The general solution for tan(x)= 15/12 is x=0.89605…+pin

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tan(x)= 15/12

tan (x) = \frac{15}{12}

x = 0.89605 \dots + πn

Degrees

x = 51.34019 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{15}{12}

Cancel the common factor:

3

tan (x) = \frac{5}{4}

Apply trig inverse properties

tan (x) = \frac{5}{4}

General solutions for

tan (x) = \frac{5}{4}

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

x = arctan (\frac{5}{4}) + πn

x = arctan (\frac{5}{4}) + πn

Show solutions in decimal form

x = 0.89605 \dots + πn

6 sin (θ) + 3 sin (θ) tan (θ) = 3 sin (θ)

cos (2 x) sin (x) = 1

sin (θ) = 10

17. 6^{2} = 1 5^{2} + 13. 1^{2} - 2 (15) (13.1) \cdot cos (A)

x, f = cos (\frac{1}{x ^{2}})

What is the general solution for tan(x)= 15/12 ?
The general solution for tan(x)= 15/12 is x=0.89605…+pin