What is the general solution for tan(t)= 7/24 ,0<t< pi/2 ?

The general solution for tan(t)= 7/24 ,0<t< pi/2 is t=0.28379…

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tan(t)= 7/24 ,0<t< pi/2

tan (t) = \frac{7}{24}, 0 < t < \frac{π}{2}

t = 0.28379 \dots

Solution steps

tan (t) = \frac{7}{24}, 0 < t < \frac{π}{2}

Apply trig inverse properties

t = arctan (\frac{7}{24}) + πn

Solutions for the range

0 < t < \frac{π}{2}

t = arctan (\frac{7}{24})

Show solutions in decimal form

t = 0.28379 \dots

cos^{2} (x) = 0.6

cos^{2} (x) = 0.3

sin (\frac{3 π}{4} + \frac{1}{12} x) = 1

sinh (x 40) = \frac{30}{40}

tan (θ) = 0.36

What is the general solution for tan(t)= 7/24 ,0<t< pi/2 ?
The general solution for tan(t)= 7/24 ,0<t< pi/2 is t=0.28379…