What is the general solution for sin(x)= 25/60 ?

The general solution for sin(x)= 25/60 is x=0.42977…+2pin,x=pi-0.42977…+2pin

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sin(x)= 25/60

sin (x) = \frac{25}{60}

x = 0.42977 \dots + 2 πn, x = π - 0.42977 \dots + 2 πn

Solution steps

sin (x) = \frac{25}{60}

Cancel the common factor:

5

sin (x) = \frac{5}{12}

Apply trig inverse properties

x = arcsin (\frac{5}{12}) + 2 πn, x = π - arcsin (\frac{5}{12}) + 2 πn

Show solutions in decimal form

x = 0.42977 \dots + 2 πn, x = π - 0.42977 \dots + 2 πn

cos (x) - cos^{2} (x) = 0

tan (x) = 1.25

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

sin (2 x - 10) = cos (x + 1 0^{\circ})

4 sin^{2} (x) + 8 sin (x) + 4 = 0

What is the general solution for sin(x)= 25/60 ?
The general solution for sin(x)= 25/60 is x=0.42977…+2pin,x=pi-0.42977…+2pin