What is the general solution for -5cos^2(x)=0 ?

The general solution for -5cos^2(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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-5cos^2(x)=0

- 5 cos^{2} (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

- 5 cos^{2} (x) = 0

Divide both sides by

- 5

- 5 cos^{2} (x) = 0

Divide both sides by

- 5

- 5 cos^{2} (x) = 0

Divide both sides by

- 5

\frac{- 5 cos ^{2} ( x )}{- 5} = \frac{0}{- 5}

Simplify

cos^{2} (x) = 0

cos^{2} (x) = 0

Apply rule

x^{n} = 0 \Rightarrow 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

tan (2 x) + sec (2 x) = 5

tan (2 x) + sec (2 x) = 1

cos^{2} (x) = \frac{( 4 k - 5 )}{10}

csc (A) = 3

2.08 \cdot cos (θ) - 9.78 \cdot sin (θ) = 0.836

What is the general solution for -5cos^2(x)=0 ?
The general solution for -5cos^2(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin