What is the general solution for sin(x)=-0.435 ?

The general solution for sin(x)=-0.435 is x=-0.45003…+2pin,x=pi+0.45003…+2pin

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sin(x)=-0.435

sin (x) = - 0.435

x = - 0.45003 \dots + 2 πn, x = π + 0.45003 \dots + 2 πn

Degrees

x = - 25.78529 \dots^{\circ} + 36 0^{\circ} n, x = 205.78529 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.435

Apply trig inverse properties

sin (x) = - 0.435

General solutions for

sin (x) = - 0.435

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

x = arcsin (- 0.435) + 2 πn, x = π + arcsin (0.435) + 2 πn

x = arcsin (- 0.435) + 2 πn, x = π + arcsin (0.435) + 2 πn

Show solutions in decimal form

x = - 0.45003 \dots + 2 πn, x = π + 0.45003 \dots + 2 πn

sin (θ) = \frac{10 sin ( 10 5 ^{\circ} )}{24.6}

0.175 = 0.34 sin (93.4 x)

2 - cos^{2} (x) + 3 sin (x) + 1 = cos^{2} (x)

cos (B) = 2425, tan (B)

1 - tan^{4} (a) cos^{4} (a) = 1 - 2 sin^{2} (a)

What is the general solution for sin(x)=-0.435 ?
The general solution for sin(x)=-0.435 is x=-0.45003…+2pin,x=pi+0.45003…+2pin