What is the general solution for sin(x)=0.1115 ?

The general solution for sin(x)=0.1115 is x=0.11173…+2pin,x=pi-0.11173…+2pin

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sin(x)=0.1115

sin (x) = 0.1115

x = 0.11173 \dots + 2 πn, x = π - 0.11173 \dots + 2 πn

Degrees

x = 6.40179 \dots^{\circ} + 36 0^{\circ} n, x = 173.59820 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.1115

Apply trig inverse properties

sin (x) = 0.1115

General solutions for

sin (x) = 0.1115

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

x = arcsin (0.1115) + 2 πn, x = π - arcsin (0.1115) + 2 πn

x = arcsin (0.1115) + 2 πn, x = π - arcsin (0.1115) + 2 πn

Show solutions in decimal form

x = 0.11173 \dots + 2 πn, x = π - 0.11173 \dots + 2 πn

arccos (x) = 11555

sin (A) = - \frac{1}{2}

6 tan (x) + 1 = 4 tan (x) + 3

cos (x) = \frac{- 5}{5}

cos (A) = \frac{4 ^{2} + ( 5.1 ) ^{2} - 3 ^{2}}{2 - 4 \cdot 5.1}

What is the general solution for sin(x)=0.1115 ?
The general solution for sin(x)=0.1115 is x=0.11173…+2pin,x=pi-0.11173…+2pin