What is the general solution for sin(x)=-0.9781 ?

The general solution for sin(x)=-0.9781 is x=-1.36112…+2pin,x=pi+1.36112…+2pin

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sin(x)=-0.9781

sin (x) = - 0.9781

x = - 1.36112 \dots + 2 πn, x = π + 1.36112 \dots + 2 πn

Degrees

x = - 77.98688 \dots^{\circ} + 36 0^{\circ} n, x = 257.98688 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.9781

Apply trig inverse properties

sin (x) = - 0.9781

General solutions for

sin (x) = - 0.9781

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

x = arcsin (- 0.9781) + 2 πn, x = π + arcsin (0.9781) + 2 πn

x = arcsin (- 0.9781) + 2 πn, x = π + arcsin (0.9781) + 2 πn

Show solutions in decimal form

x = - 1.36112 \dots + 2 πn, x = π + 1.36112 \dots + 2 πn

tan (x) = 3.73

tan (θ) = - \frac{2}{5}, sin (θ) > 0

sin (4 θ) = \frac{3}{2}, 0 \leq θ < 2 π

x, z = cot (4 x^{3} y^{6} - 4 x^{4})

sin (θ + \frac{π}{6}) = 2 sin (θ - \frac{π}{6})

What is the general solution for sin(x)=-0.9781 ?
The general solution for sin(x)=-0.9781 is x=-1.36112…+2pin,x=pi+1.36112…+2pin