What is the general solution for tan(θ)= 3/4 ,0<= θ< pi/2 ?

The general solution for tan(θ)= 3/4 ,0<= θ< pi/2 is θ=0.64350…

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tan(θ)= 3/4 ,0<= θ< pi/2

tan (θ) = \frac{3}{4}, 0 \leq θ < \frac{π}{2}

θ = 0.64350 \dots

Degrees

θ = 36.86989 \dots^{\circ}

Solution steps

tan (θ) = \frac{3}{4}, 0 \leq θ < \frac{π}{2}

Apply trig inverse properties

tan (θ) = \frac{3}{4}

General solutions for

tan (θ) = \frac{3}{4}

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

θ = arctan (\frac{3}{4}) + πn

θ = arctan (\frac{3}{4}) + πn

Solutions for the range

0 \leq θ < \frac{π}{2}

θ = arctan (\frac{3}{4})

Show solutions in decimal form

θ = 0.64350 \dots

cot (a) = \frac{5}{7}

2 cos^{2} (x - 1) = 0

\frac{1}{cot ^{2} ( x )} + \frac{3}{cot ( x )} = 0

b, \frac{sin ( 6 5 ^{\circ} )}{14} = \frac{sin ( b )}{9}

4 sin (θ) = sin (2 θ)

What is the general solution for tan(θ)= 3/4 ,0<= θ< pi/2 ?
The general solution for tan(θ)= 3/4 ,0<= θ< pi/2 is θ=0.64350…