What is the general solution for tan(θ)= 15/20 ?

The general solution for tan(θ)= 15/20 is θ=0.64350…+pin

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tan(θ)= 15/20

tan (θ) = \frac{15}{20}

θ = 0.64350 \dots + πn

Solution steps

tan (θ) = \frac{15}{20}

Cancel the common factor:

5

tan (θ) = \frac{3}{4}

Apply trig inverse properties

θ = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

θ = 0.64350 \dots + πn

- cos (x) = 0.9

3 cos (θ) - 2 sin (θ) cos (θ) = 0

sec (x) + sin^{2} (x) + cos^{2} (x) = tan^{2} (x)

4 sin^{2} (x) - 3 = 4, sin (2 x) - 3 = 0

tan^{2} (θ) + tan (θ) = 6, 0 \leq θ < 18 0^{\circ}

What is the general solution for tan(θ)= 15/20 ?
The general solution for tan(θ)= 15/20 is θ=0.64350…+pin