What is the general solution for sin(x)=-0.707 ?

The general solution for sin(x)=-0.707 is x=-0.78524…+2pin,x=pi+0.78524…+2pin

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sin(x)=-0.707

sin (x) = - 0.707

x = - 0.78524 \dots + 2 πn, x = π + 0.78524 \dots + 2 πn

Degrees

x = - 44.99134 \dots^{\circ} + 36 0^{\circ} n, x = 224.99134 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.707

Apply trig inverse properties

sin (x) = - 0.707

General solutions for

sin (x) = - 0.707

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

x = arcsin (- 0.707) + 2 πn, x = π + arcsin (0.707) + 2 πn

x = arcsin (- 0.707) + 2 πn, x = π + arcsin (0.707) + 2 πn

Show solutions in decimal form

x = - 0.78524 \dots + 2 πn, x = π + 0.78524 \dots + 2 πn

2 sin^{2} (x) + 5 sin (x) = 0

cos (2 x) - 7 cos (x) - 3 = 0

tan^{2} (4 5^{\circ} - \frac{x}{3}) = 0.58

- 20 csc (x) = 40

0 = 4 ∣ sin (6 θ) ∣

What is the general solution for sin(x)=-0.707 ?
The general solution for sin(x)=-0.707 is x=-0.78524…+2pin,x=pi+0.78524…+2pin