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

The general solution for tan(θ)=sqrt(7/2) is θ=1.07991…+pin

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tan(θ)=sqrt(7/2)

tan (θ) = \frac{7}{2}

θ = 1.07991 \dots + πn

Degrees

θ = 61.87449 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{7}{2}

Apply trig inverse properties

tan (θ) = \frac{7}{2}

General solutions for

tan (θ) = \frac{7}{2}

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

θ = arctan (\frac{7}{2}) + πn

θ = arctan (\frac{7}{2}) + πn

Show solutions in decimal form

θ = 1.07991 \dots + πn

2 \cdot sin (2 x + 1 5^{\circ}) = 1

cos (2 x) + 3 cos (x) + 2 = 0, \frac{π}{2} \leq x \leq π

2 cos (a) = 3

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

sin^{2} (4 x) = 1

What is the general solution for tan(θ)=sqrt(7/2) ?
The general solution for tan(θ)=sqrt(7/2) is θ=1.07991…+pin