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

The general solution for tan(t)=2,0<t< pi/2 ,cos(t) is t=1.10714…

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tan(t)=2,0<t< pi/2 ,cos(t)

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

t = 1.10714 \dots

Solution steps

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

Apply trig inverse properties

t = arctan (2) + πn

Solutions for the range

0 < t < \frac{π}{2}

t = arctan (2)

Show solutions in decimal form

t = 1.10714 \dots

\frac{cos ( x ) + sin ( x )}{sin ( x )} = \frac{1}{tan ( x )}

cos (2 x) - 3 sin (- x) - 2 = 0

sin (θ) = \frac{1}{4}, 0 < θ < \frac{π}{2}

sin (2 θ) = \frac{1.35 \cdot 10}{( 38 ) ^{2}}

- 2 = \frac{16}{π} cos (4 \cdot x)

What is the general solution for tan(t)=2,0<t< pi/2 ,cos(t) ?
The general solution for tan(t)=2,0<t< pi/2 ,cos(t) is t=1.10714…