What is the general solution for tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t) ?

The general solution for tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t) is No Solution for t\in\mathbb{R}

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tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t)

tan (t) = - \frac{11}{5}, cos (t) > 0, sin (t)

No Solution for t \in R

Solution steps

tan (t) = - \frac{11}{5}, cos (t) > 0, sin (t)

Apply trig inverse properties

tan (t) = - \frac{11}{5}

General solutions for

tan (t) = - \frac{11}{5}

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

t = arctan (- \frac{11}{5}) + πn

t = arctan (- \frac{11}{5}) + πn

Solutions for the range

cos (t) > 0

No Solution for t \in R

tan (θ + 2 0^{\circ}) tan (9 0^{\circ} - 3 θ) = 1

2 csc (x) + \frac{7}{cos ( x )} = 0

csc (θ) = \frac{13}{6}

tan (B) = 8

\frac{tan ( θ ) cot ( θ )}{sec ^{2} ( θ )} = cot (θ)

What is the general solution for tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t) ?
The general solution for tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t) is No Solution for t\in\mathbb{R}