What is the general solution for 4+5sin(x)=1 ?

The general solution for 4+5sin(x)=1 is x=-0.64350…+2pin,x=pi+0.64350…+2pin

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4+5sin(x)=1

4 + 5 sin (x) = 1

x = - 0.64350 \dots + 2 πn, x = π + 0.64350 \dots + 2 πn

Solution steps

4 + 5 sin (x) = 1

Move

4

to the right side

5 sin (x) = - 3

Divide both sides by

5

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

Apply trig inverse properties

x = arcsin (- \frac{3}{5}) + 2 πn, x = π + arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = - 0.64350 \dots + 2 πn, x = π + 0.64350 \dots + 2 πn

120 = 23 sin (\frac{π}{6} (x)) + 107

4 sin (3 θ) = 2

cos (x) = cos (3 x) + 2 sin (2 x)

csc (x) (2 sin (x) - 2) = 0

\frac{700}{sin ( 9 0 ^{\circ} )} = \frac{236.3277}{sin ( θ )}

What is the general solution for 4+5sin(x)=1 ?
The general solution for 4+5sin(x)=1 is x=-0.64350…+2pin,x=pi+0.64350…+2pin