What is the general solution for sin(a)=(6.88)/(6.9) ?

The general solution for sin(a)=(6.88)/(6.9) is a=1.49463…+2pin,a=pi-1.49463…+2pin

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sin(a)=(6.88)/(6.9)

sin (a) = \frac{6.88}{6.9}

a = 1.49463 \dots + 2 πn, a = π - 1.49463 \dots + 2 πn

Degrees

a = 85.63651 \dots^{\circ} + 36 0^{\circ} n, a = 94.36348 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{6.88}{6.9}

Apply trig inverse properties

sin (a) = \frac{6.88}{6.9}

General solutions for

sin (a) = \frac{6.88}{6.9}

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

a = arcsin (\frac{6.88}{6.9}) + 2 πn, a = π - arcsin (\frac{6.88}{6.9}) + 2 πn

a = arcsin (\frac{6.88}{6.9}) + 2 πn, a = π - arcsin (\frac{6.88}{6.9}) + 2 πn

Show solutions in decimal form

a = 1.49463 \dots + 2 πn, a = π - 1.49463 \dots + 2 πn

What is the general solution for sin(a)=(6.88)/(6.9) ?
The general solution for sin(a)=(6.88)/(6.9) is a=1.49463…+2pin,a=pi-1.49463…+2pin