What is the general solution for sin(x)=0.64 ?

The general solution for sin(x)=0.64 is x=0.69449…+2pin,x=pi-0.69449…+2pin

Popular >

sin(x)=0.64

sin (x) = 0.64

x = 0.69449 \dots + 2 πn, x = π - 0.69449 \dots + 2 πn

Degrees

x = 39.79181 \dots^{\circ} + 36 0^{\circ} n, x = 140.20818 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.64

Apply trig inverse properties

sin (x) = 0.64

General solutions for

sin (x) = 0.64

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

x = arcsin (0.64) + 2 πn, x = π - arcsin (0.64) + 2 πn

x = arcsin (0.64) + 2 πn, x = π - arcsin (0.64) + 2 πn

Show solutions in decimal form

x = 0.69449 \dots + 2 πn, x = π - 0.69449 \dots + 2 πn

4 sin^{3} (x) - 8 sin^{2} (x) + sin (x) + 3 = 0

sin (x) = 0.71

sin (2 x) + 2 sin (x) - cos (x) - 1 = 0

cos (2 x) = - 0.4, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

cos (x) = \frac{- 4}{\frac{8}{3} 3}

What is the general solution for sin(x)=0.64 ?
The general solution for sin(x)=0.64 is x=0.69449…+2pin,x=pi-0.69449…+2pin