What is the general solution for |(211)||(-37-1)|(cos(x))=0 ?

The general solution for |(211)||(-37-1)|(cos(x))=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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|(211)||(-37-1)|(cos(x))=0

∣ (211) ∣ ∣ (- 37 - 1) ∣ (cos (x)) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Degrees

x = 9 0^{\circ} + 36 0^{\circ} n, x = 27 0^{\circ} + 36 0^{\circ} n

Solution steps

∣ (211) ∣ ∣ (- 37 - 1) ∣ (cos (x)) = 0

Divide both sides by

8018

∣ 211 ∣ ∣ (- 37 - 1) ∣ cos (x) = 0

Divide both sides by

8018

\frac{∣ 211 ∣ ∣ ( - 37 - 1 ) ∣ cos ( x )}{8018} = \frac{0}{8018}

Simplify

cos (x) = 0

cos (x) = 0

General solutions for

cos (x) = 0

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

u, x = 4 sinh (u)

tan (x) = \frac{25}{32}

sin (x + 2 0^{\circ}) + sin (4 0^{\circ} - x) = 1

x, f = 2 cos (3 x^{2} - 1) e n t o n ces f

tan (a) = \frac{5}{8}

What is the general solution for |(211)||(-37-1)|(cos(x))=0 ?
The general solution for |(211)||(-37-1)|(cos(x))=0 is x= pi/2+2pin,x=(3pi)/2+2pin