What is the general solution for 24tan(2x)sec^2(2x)=0 ?

The general solution for 24tan(2x)sec^2(2x)=0 is x=(pin)/2

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24tan(2x)sec^2(2x)=0

24 tan (2 x) sec^{2} (2 x) = 0

x = \frac{πn}{2}

Solution steps

24 tan (2 x) sec^{2} (2 x) = 0

Solving each part separately

tan (2 x) = 0 or sec^{2} (2 x) = 0

tan (2 x) = 0 : x = \frac{πn}{2}

sec^{2} (2 x) = 0 :

No Solution

Combine all the solutions

x = \frac{πn}{2}

2 + 3 cos (θ) = 0

cos (2 θ) = - 2

\frac{tan ( θ )}{cos ( θ )} = 1

sin (θ) = - \frac{24}{25}, π < θ < \frac{3 π}{2}

sin (\frac{2 θ}{3}) = 0

What is the general solution for 24tan(2x)sec^2(2x)=0 ?
The general solution for 24tan(2x)sec^2(2x)=0 is x=(pin)/2