What is the general solution for solvefor h,f=tan(x)tan(h)x ?

The general solution for solvefor h,f=tan(x)tan(h)x is h=arctan(f/(tan(x)x))+pin

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solvefor h,f=tan(x)tan(h)x

solve for

h, f = tan (x) tan (h) x

h = arctan (\frac{f}{tan ( x ) x}) + πn

Solution steps

f = tan (x) tan (h) x

Switch sides

tan (x) tan (h) x = f

Divide both sides by

tan (x) x; tan (x) x \neq = 0

tan (x) tan (h) x = f

Divide both sides by

tan (x) x; tan (x) x \neq = 0

\frac{tan ( x ) tan ( h ) x}{tan ( x ) x} = \frac{f}{tan ( x ) x}; tan (x) x \neq = 0

Simplify

tan (h) = \frac{f}{tan ( x ) x}; tan (x) x \neq = 0

tan (h) = \frac{f}{tan ( x ) x}; tan (x) x \neq = 0

Apply trig inverse properties

tan (h) = \frac{f}{tan ( x ) x}

General solutions for

tan (h) = \frac{f}{tan ( x ) x}

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

h = arctan (\frac{f}{tan ( x ) x}) + πn

h = arctan (\frac{f}{tan ( x ) x}) + πn

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

x, arccos (x) = 1

cos (x) + 2 sin (x) = - 1

csc (x) = - 7

cos (4 t) + sin (4 t) = 0

What is the general solution for solvefor h,f=tan(x)tan(h)x ?
The general solution for solvefor h,f=tan(x)tan(h)x is h=arctan(f/(tan(x)x))+pin