What is the general solution for sin(x)=-0.98 ?

The general solution for sin(x)=-0.98 is x=-1.37046…+2pin,x=pi+1.37046…+2pin

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sin(x)=-0.98

sin (x) = - 0.98

x = - 1.37046 \dots + 2 πn, x = π + 1.37046 \dots + 2 πn

Degrees

x = - 78.52165 \dots^{\circ} + 36 0^{\circ} n, x = 258.52165 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.98

Apply trig inverse properties

sin (x) = - 0.98

General solutions for

sin (x) = - 0.98

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

x = arcsin (- 0.98) + 2 πn, x = π + arcsin (0.98) + 2 πn

x = arcsin (- 0.98) + 2 πn, x = π + arcsin (0.98) + 2 πn

Show solutions in decimal form

x = - 1.37046 \dots + 2 πn, x = π + 1.37046 \dots + 2 πn

2 cos^{2} (x) + 9 cos (x) = 4

sin^{2} (x) - 2 = sin (x), - x \leq x \leq 2 π

sin (2 x + 60) = \frac{1}{2}, - 18 0^{\circ} \leq, x \leq 18 0^{\circ}

80 = arcsin (\frac{1.5}{x})

sin (x) = - 0.12

What is the general solution for sin(x)=-0.98 ?
The general solution for sin(x)=-0.98 is x=-1.37046…+2pin,x=pi+1.37046…+2pin