What is the general solution for 4sin(B)+sqrt(8)=0 ?

The general solution for 4sin(B)+sqrt(8)=0 is B=(5pi)/4+2pin,B=(7pi)/4+2pin

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4sin(B)+sqrt(8)=0

4 sin (B) + 8 = 0

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

Solution steps

4 sin (B) + 8 = 0

Simplify

4 sin (B) + 8 : 4 sin (B) + 22

4 sin (B) + 22 = 0

Move

22

to the right side

4 sin (B) = - 22

Divide both sides by

4

sin (B) = - \frac{2}{2}

General solutions for

sin (B) = - \frac{2}{2}

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

4 cos (x) - 5 = - 7

0 = 1 + 2 sin (\frac{x ^{2}}{2})

cos (2 x) - 5 cos (x) + 3 = 0

9 sin^{2} (x) + 18 sin (x) + 9 = 0

- 12 sin^{2} (θ) + 7 = 4

What is the general solution for 4sin(B)+sqrt(8)=0 ?
The general solution for 4sin(B)+sqrt(8)=0 is B=(5pi)/4+2pin,B=(7pi)/4+2pin