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

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

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

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

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

Solution steps

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

Simplify

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

General solutions for

cos (t) = - \frac{2}{2}

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

tan (θ) = \frac{2 3}{2}

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

tan (x) = - 12, cos (x) > 0

sin (π x) + cos (π x) = 0

cos (θ) sin (θ) - 4 cos (θ) = 0

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