What is the general solution for sin(x)= 12/16 ?

The general solution for sin(x)= 12/16 is x=0.84806…+2pin,x=pi-0.84806…+2pin

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sin(x)= 12/16

sin (x) = \frac{12}{16}

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

Degrees

x = 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{12}{16}

Cancel the common factor:

4

sin (x) = \frac{3}{4}

Apply trig inverse properties

sin (x) = \frac{3}{4}

General solutions for

sin (x) = \frac{3}{4}

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

x = arcsin (\frac{3}{4}) + 2 πn, x = π - arcsin (\frac{3}{4}) + 2 πn

x = arcsin (\frac{3}{4}) + 2 πn, x = π - arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

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

tan (a) = \frac{3}{2}

cos (x + \frac{π}{6}) = - 1

tan (4 x + 20) \cdot cot (x + 5 0^{\circ}) = 1

csc (x) = - 0.5

What is the general solution for sin(x)= 12/16 ?
The general solution for sin(x)= 12/16 is x=0.84806…+2pin,x=pi-0.84806…+2pin