What is the general solution for sin(x)= 10/300 ?

The general solution for sin(x)= 10/300 is x=0.03333…+2pin,x=pi-0.03333…+2pin

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sin(x)= 10/300

sin (x) = \frac{10}{300}

x = 0.03333 \dots + 2 πn, x = π - 0.03333 \dots + 2 πn

Degrees

x = 1.91021 \dots^{\circ} + 36 0^{\circ} n, x = 178.08978 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{10}{300}

Cancel the common factor:

10

sin (x) = \frac{1}{30}

Apply trig inverse properties

sin (x) = \frac{1}{30}

General solutions for

sin (x) = \frac{1}{30}

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

x = arcsin (\frac{1}{30}) + 2 πn, x = π - arcsin (\frac{1}{30}) + 2 πn

x = arcsin (\frac{1}{30}) + 2 πn, x = π - arcsin (\frac{1}{30}) + 2 πn

Show solutions in decimal form

x = 0.03333 \dots + 2 πn, x = π - 0.03333 \dots + 2 πn

cos^{2} (x) + 2 sin (x) = 2

cos (21 6^{\circ}) = cos^{2} (a) - sin^{2} (a)

csc (- x) - 1 = cot^{2} (x)

tan (a) = \frac{141}{101}

sin (x) = - cos^{2} (x)

What is the general solution for sin(x)= 10/300 ?
The general solution for sin(x)= 10/300 is x=0.03333…+2pin,x=pi-0.03333…+2pin