What is the general solution for sec(t)= 1/(-(sqrt(2))/2) ?

The general solution for sec(t)= 1/(-(sqrt(2))/2) is t=(3pi)/4+2pin,t=(5pi)/4+2pin

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sec(t)= 1/(-(sqrt(2))/2)

sec (t) = \frac{1}{- \frac{2}{2}}

t = \frac{3 π}{4} + 2 πn, t = \frac{5 π}{4} + 2 πn

Solution steps

sec (t) = \frac{1}{- \frac{2}{2}}

Simplify

\frac{1}{- \frac{2}{2}} : - 2

General solutions for

sec (t) = - 2

t = \frac{3 π}{4} + 2 πn, t = \frac{5 π}{4} + 2 πn

sin (x) = 0.556692

tan^{2} (x) + 4 tan (x) + 3 = 0

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

tan (x) = - \frac{2}{2}

cot (x) = 1.2

What is the general solution for sec(t)= 1/(-(sqrt(2))/2) ?
The general solution for sec(t)= 1/(-(sqrt(2))/2) is t=(3pi)/4+2pin,t=(5pi)/4+2pin