What is the general solution for sin(x)=-0.2761 ?

The general solution for sin(x)=-0.2761 is x=-0.27973…+2pin,x=pi+0.27973…+2pin

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sin(x)=-0.2761

sin (x) = - 0.2761

x = - 0.27973 \dots + 2 πn, x = π + 0.27973 \dots + 2 πn

Degrees

x = - 16.02757 \dots^{\circ} + 36 0^{\circ} n, x = 196.02757 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.2761

Apply trig inverse properties

sin (x) = - 0.2761

General solutions for

sin (x) = - 0.2761

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

x = arcsin (- 0.2761) + 2 πn, x = π + arcsin (0.2761) + 2 πn

x = arcsin (- 0.2761) + 2 πn, x = π + arcsin (0.2761) + 2 πn

Show solutions in decimal form

x = - 0.27973 \dots + 2 πn, x = π + 0.27973 \dots + 2 πn

3 arcsin (x) = \frac{π}{2}, x

sin^{2} (θ) - \frac{1}{2} sin (θ) - \frac{1}{2} = 0

tan^{2} (x) - sec (x) + 1 = 0

sin (2 y) = 0

7 sin^{2} (θ) - 15 sin (θ) + 8 = 0

What is the general solution for sin(x)=-0.2761 ?
The general solution for sin(x)=-0.2761 is x=-0.27973…+2pin,x=pi+0.27973…+2pin