What is the general solution for sin(a)= 7/15 ?

The general solution for sin(a)= 7/15 is a=0.48551…+2pin,a=pi-0.48551…+2pin

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sin(a)= 7/15

sin (a) = \frac{7}{15}

a = 0.48551 \dots + 2 πn, a = π - 0.48551 \dots + 2 πn

Degrees

a = 27.81813 \dots^{\circ} + 36 0^{\circ} n, a = 152.18186 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{7}{15}

Apply trig inverse properties

sin (a) = \frac{7}{15}

General solutions for

sin (a) = \frac{7}{15}

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

a = arcsin (\frac{7}{15}) + 2 πn, a = π - arcsin (\frac{7}{15}) + 2 πn

a = arcsin (\frac{7}{15}) + 2 πn, a = π - arcsin (\frac{7}{15}) + 2 πn

Show solutions in decimal form

a = 0.48551 \dots + 2 πn, a = π - 0.48551 \dots + 2 πn

\frac{3 3}{14} = sin (x)

6 cos (x) = 2 + 2 cos (x)

cosh (z) = 1, cosh (z) = - 2

tan (2 x) = \frac{- 3}{3}

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

What is the general solution for sin(a)= 7/15 ?
The general solution for sin(a)= 7/15 is a=0.48551…+2pin,a=pi-0.48551…+2pin