What is the general solution for sin(x)=-0.65 ?

The general solution for sin(x)=-0.65 is x=-0.70758…+2pin,x=pi+0.70758…+2pin

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sin(x)=-0.65

sin (x) = - 0.65

x = - 0.70758 \dots + 2 πn, x = π + 0.70758 \dots + 2 πn

Degrees

x = - 40.54160 \dots^{\circ} + 36 0^{\circ} n, x = 220.54160 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.65

Apply trig inverse properties

sin (x) = - 0.65

General solutions for

sin (x) = - 0.65

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

x = arcsin (- 0.65) + 2 πn, x = π + arcsin (0.65) + 2 πn

x = arcsin (- 0.65) + 2 πn, x = π + arcsin (0.65) + 2 πn

Show solutions in decimal form

x = - 0.70758 \dots + 2 πn, x = π + 0.70758 \dots + 2 πn

sin (x) = - 0.71

cos (x) tan (x) - tan (x) = 0

sin (x) = - 0.98

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

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

What is the general solution for sin(x)=-0.65 ?
The general solution for sin(x)=-0.65 is x=-0.70758…+2pin,x=pi+0.70758…+2pin