What is the general solution for solvefor x,0=cos(x)+1+sin(x) ?

The general solution for solvefor x,0=cos(x)+1+sin(x) is x=2pin+pi,x=2pin+(3pi)/2

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solvefor x,0=cos(x)+1+sin(x)

solve for

x, 0 = cos (x) + 1 + sin (x)

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

Solution steps

0 = cos (x) + 1 + sin (x)

Switch sides

cos (x) + 1 + sin (x) = 0

Rewrite using trig identities

1 + 2 sin (x + \frac{π}{4}) = 0

Move

1

to the right side

2 sin (x + \frac{π}{4}) = - 1

Divide both sides by

2

sin (x + \frac{π}{4}) = - \frac{2}{2}

General solutions for

sin (x + \frac{π}{4}) = - \frac{2}{2}

x + \frac{π}{4} = \frac{5 π}{4} + 2 πn, x + \frac{π}{4} = \frac{7 π}{4} + 2 πn

Solve

x + \frac{π}{4} = \frac{5 π}{4} + 2 πn : x = 2 πn + π

Solve

x + \frac{π}{4} = \frac{7 π}{4} + 2 πn : x = 2 πn + \frac{3 π}{2}

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

5 sin (\frac{π}{4} x) = 4

1 - sec^{2} (θ) = tan^{2} (θ)

6 tan^{2} (x) = 5 sec (x)

x, cos^{2} (x) = 0.5

sin (x) = 0.24, 0 \leq x < 2 π

What is the general solution for solvefor x,0=cos(x)+1+sin(x) ?
The general solution for solvefor x,0=cos(x)+1+sin(x) is x=2pin+pi,x=2pin+(3pi)/2