What is the general solution for cos(4t)+sin(4t)=0 ?

The general solution for cos(4t)+sin(4t)=0 is t=(3pi}{16}+\frac{pin)/4

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

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

t = \frac{3 π}{16} + \frac{πn}{4}

Solution steps

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

Rewrite using trig identities

1 + tan (4 t) = 0

Move

1

to the right side

tan (4 t) = - 1

General solutions for

tan (4 t) = - 1

4 t = \frac{3 π}{4} + πn

Solve

4 t = \frac{3 π}{4} + πn : t = \frac{3 π}{16} + \frac{πn}{4}

t = \frac{3 π}{16} + \frac{πn}{4}

cos (x - 3 0^{\circ}) = 0.22

sin (4 x - 22) = cos (6 x - 13)

cos (2 x) + 1 = 2

csc (x) = - \frac{3}{5}

cos (x) = \frac{3}{5}, cos (2 π + x)

What is the general solution for cos(4t)+sin(4t)=0 ?
The general solution for cos(4t)+sin(4t)=0 is t=(3pi}{16}+\frac{pin)/4