What is the general solution for sin(x)= 10/14 ?

The general solution for sin(x)= 10/14 is x=0.79560…+2pin,x=pi-0.79560…+2pin

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sin(x)= 10/14

sin (x) = \frac{10}{14}

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

Solution steps

sin (x) = \frac{10}{14}

Cancel the common factor:

2

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

cos (x) = \frac{9}{15}

8 sin^{2} (x) + 12 sin (x) + 4 = 0

4 sin^{2} (x) = cos (x) + 1

0 = 4 sin (x)

tan (- 6 0^{\circ}) = \frac{( 1 - cos ( u ) )}{sin ( u )}

What is the general solution for sin(x)= 10/14 ?
The general solution for sin(x)= 10/14 is x=0.79560…+2pin,x=pi-0.79560…+2pin