What is the general solution for -1+sin(x)=-1.3 ?

The general solution for -1+sin(x)=-1.3 is x=-0.30469…+2pin,x=pi+0.30469…+2pin

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-1+sin(x)=-1.3

- 1 + sin (x) = - 1.3

x = - 0.30469 \dots + 2 πn, x = π + 0.30469 \dots + 2 πn

Degrees

x = - 17.45760 \dots^{\circ} + 36 0^{\circ} n, x = 197.45760 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- 1 + sin (x) = - 1.3

Move

1

to the right side

- 1 + sin (x) = - 1.3

Add

1

to both sides

- 1 + sin (x) + 1 = - 1.3 + 1

Simplify

sin (x) = - 0.3

sin (x) = - 0.3

Apply trig inverse properties

sin (x) = - 0.3

General solutions for

sin (x) = - 0.3

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- 0.3) + 2 πn, x = π + arcsin (0.3) + 2 πn

x = arcsin (- 0.3) + 2 πn, x = π + arcsin (0.3) + 2 πn

Show solutions in decimal form

x = - 0.30469 \dots + 2 πn, x = π + 0.30469 \dots + 2 πn

\frac{sin ( x )}{45} = \frac{sin ( 3 5 ^{\circ} )}{30}

cos (x) = \frac{4 ( - \frac{1}{2} ) - 1}{3}

1 = l sin (x), 2 = l cos (x)

y, t = 2 cot (6 0^{\circ} y + 3 0^{\circ})

sec (y) = - 2

What is the general solution for -1+sin(x)=-1.3 ?
The general solution for -1+sin(x)=-1.3 is x=-0.30469…+2pin,x=pi+0.30469…+2pin