What is the general solution for sin(x)=(sqrt(7))/5 ?

The general solution for sin(x)=(sqrt(7))/5 is x=0.55759…+2pin,x=pi-0.55759…+2pin

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sin(x)=(sqrt(7))/5

sin (x) = \frac{7}{5}

x = 0.55759 \dots + 2 πn, x = π - 0.55759 \dots + 2 πn

Solution steps

sin (x) = \frac{7}{5}

Apply trig inverse properties

x = arcsin (\frac{7}{5}) + 2 πn, x = π - arcsin (\frac{7}{5}) + 2 πn

Show solutions in decimal form

x = 0.55759 \dots + 2 πn, x = π - 0.55759 \dots + 2 πn

csc (3 x) = 2

2 cos (x) + sec (x) = 3

cos^{2} (2 x) = 0

sin (2 x) = - 1 cos (x)

2 cos (x) - sin (2 x) = 0

What is the general solution for sin(x)=(sqrt(7))/5 ?
The general solution for sin(x)=(sqrt(7))/5 is x=0.55759…+2pin,x=pi-0.55759…+2pin