What is the general solution for 7sin(a)= 1/11 ?

The general solution for 7sin(a)= 1/11 is a=0.01298…+2pin,a=pi-0.01298…+2pin

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7sin(a)= 1/11

7 sin (a) = \frac{1}{11}

a = 0.01298 \dots + 2 πn, a = π - 0.01298 \dots + 2 πn

Solution steps

7 sin (a) = \frac{1}{11}

Divide both sides by

7

sin (a) = \frac{1}{77}

Apply trig inverse properties

a = arcsin (\frac{1}{77}) + 2 πn, a = π - arcsin (\frac{1}{77}) + 2 πn

Show solutions in decimal form

a = 0.01298 \dots + 2 πn, a = π - 0.01298 \dots + 2 πn

tan (x) = 2, x + y = 135

tan (\frac{x}{2}) + cos (x) = 1

sinh (z) = - 1

1 + cos^{2} (a) = 2 cos^{2} (a)

sin (x) = \frac{15}{18}

What is the general solution for 7sin(a)= 1/11 ?
The general solution for 7sin(a)= 1/11 is a=0.01298…+2pin,a=pi-0.01298…+2pin