What is the general solution for sin(a)=0.527 ?

The general solution for sin(a)=0.527 is a=0.55506…+2pin,a=pi-0.55506…+2pin

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sin(a)=0.527

sin (a) = 0.527

a = 0.55506 \dots + 2 πn, a = π - 0.55506 \dots + 2 πn

Degrees

a = 31.80298 \dots^{\circ} + 36 0^{\circ} n, a = 148.19701 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.527

Apply trig inverse properties

sin (a) = 0.527

General solutions for

sin (a) = 0.527

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

a = arcsin (0.527) + 2 πn, a = π - arcsin (0.527) + 2 πn

a = arcsin (0.527) + 2 πn, a = π - arcsin (0.527) + 2 πn

Show solutions in decimal form

a = 0.55506 \dots + 2 πn, a = π - 0.55506 \dots + 2 πn

2 + 2 sin (θ) = 7 sin (θ)

sin (2 x) = 0.03

0 = - 3 + 2 sin (x)

cos (x) = \frac{( 35 )}{( 57 )}

x, sin^{2} (x) = 0.5

What is the general solution for sin(a)=0.527 ?
The general solution for sin(a)=0.527 is a=0.55506…+2pin,a=pi-0.55506…+2pin