What is the general solution for sin(a)=0.36 ?

The general solution for sin(a)=0.36 is a=0.36826…+2pin,a=pi-0.36826…+2pin

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sin(a)=0.36

sin (a) = 0.36

a = 0.36826 \dots + 2 πn, a = π - 0.36826 \dots + 2 πn

Degrees

a = 21.10019 \dots^{\circ} + 36 0^{\circ} n, a = 158.89980 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.36

Apply trig inverse properties

sin (a) = 0.36

General solutions for

sin (a) = 0.36

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

a = arcsin (0.36) + 2 πn, a = π - arcsin (0.36) + 2 πn

a = arcsin (0.36) + 2 πn, a = π - arcsin (0.36) + 2 πn

Show solutions in decimal form

a = 0.36826 \dots + 2 πn, a = π - 0.36826 \dots + 2 πn

sin (a) = 0.35

sin (2 x) = cos (2 x) + 1, \forall 0 \leq θ < 2 π

sin (x) = \frac{5}{14}

tan (2 θ) = - \frac{280}{\frac{( 0 - 0 )}{2}}

4 sin (x) + 1 = 0

What is the general solution for sin(a)=0.36 ?
The general solution for sin(a)=0.36 is a=0.36826…+2pin,a=pi-0.36826…+2pin