What is the general solution for sin(A)=0.53 ?

The general solution for sin(A)=0.53 is A=0.55860…+2pin,A=pi-0.55860…+2pin

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sin(A)=0.53

sin (A) = 0.53

A = 0.55860 \dots + 2 πn, A = π - 0.55860 \dots + 2 πn

Degrees

A = 32.00545 \dots^{\circ} + 36 0^{\circ} n, A = 147.99454 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = 0.53

Apply trig inverse properties

sin (A) = 0.53

General solutions for

sin (A) = 0.53

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

A = arcsin (0.53) + 2 πn, A = π - arcsin (0.53) + 2 πn

A = arcsin (0.53) + 2 πn, A = π - arcsin (0.53) + 2 πn

Show solutions in decimal form

A = 0.55860 \dots + 2 πn, A = π - 0.55860 \dots + 2 πn

tan (a) = 3, cos (a)

2 sin (2 x) = cos (2 x)

sin (2 θ) = 3

1 2^{2} = 1 5^{2} + 2 0^{2} - 2 (15) (20) (cos (a))

0.428 = cos (1.57 \cdot x - π)

What is the general solution for sin(A)=0.53 ?
The general solution for sin(A)=0.53 is A=0.55860…+2pin,A=pi-0.55860…+2pin