What is the general solution for sin(2v)=sin(16) ?

The general solution for sin(2v)=sin(16) is v=8+180n,v=90-8+180n

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sin(2v)=sin(16)

sin (2 v) = sin (1 6^{\circ})

v = 8^{\circ} + 18 0^{\circ} n, v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

Solution steps

sin (2 v) = sin (1 6^{\circ})

Apply trig inverse properties

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n, 2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

Solve

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n : v = 8^{\circ} + 18 0^{\circ} n

Solve

2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n : v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

v = 8^{\circ} + 18 0^{\circ} n, v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

tan (2 x) = \frac{130}{- 270 - 120}

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

2 cos (x) tan (x) = 1

sin (10 x) = sin (7 x)

185 = \frac{220 2}{π} - cos (π) + cos (x)

What is the general solution for sin(2v)=sin(16) ?
The general solution for sin(2v)=sin(16) is v=8+180n,v=90-8+180n