What is the general solution for (sec^2(-1))/(tan(x))=tan(x) ?

The general solution for (sec^2(-1))/(tan(x))=tan(x) is x=1.07542…+pin,x=-1.07542…+pin

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(sec^2(-1))/(tan(x))=tan(x)

\frac{sec ^{2} ( - 1 )}{tan ( x )} = tan (x)

x = 1.07542 \dots + πn, x = - 1.07542 \dots + πn

Solution steps

\frac{sec ^{2} ( - 1 )}{tan ( x )} = tan (x)

sec (- 1) = sec (1)

\frac{sec ^{2} ( 1 )}{tan ( x )} = tan (x)

Solve by substitution

tan (x) = sec (1), tan (x) = - sec (1)

tan (x) = sec (1) : x = arctan (sec (1)) + πn

tan (x) = - sec (1) : x = arctan (- sec (1)) + πn

Combine all the solutions

x = arctan (sec (1)) + πn, x = arctan (- sec (1)) + πn

Show solutions in decimal form

x = 1.07542 \dots + πn, x = - 1.07542 \dots + πn

4 sin (x) = 3 sec (x)

\frac{sin ( 55.01 - x )}{sin ( x )} = \frac{1200}{500}

csc (θ) = 0.77

x, - cos (y) = sin (x)

3 cos^{2} (θ) - 10 = 0

What is the general solution for (sec^2(-1))/(tan(x))=tan(x) ?
The general solution for (sec^2(-1))/(tan(x))=tan(x) is x=1.07542…+pin,x=-1.07542…+pin