What is the general solution for sin(a)=0.143 ?

The general solution for sin(a)=0.143 is a=0.14349…+2pin,a=pi-0.14349…+2pin

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sin(a)=0.143

sin (a) = 0.143

a = 0.14349 \dots + 2 πn, a = π - 0.14349 \dots + 2 πn

Solution steps

sin (a) = 0.143

Apply trig inverse properties

a = arcsin (0.143) + 2 πn, a = π - arcsin (0.143) + 2 πn

Show solutions in decimal form

a = 0.14349 \dots + 2 πn, a = π - 0.14349 \dots + 2 πn

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

sin (a) = 1.25

(1 + \frac{tan ^{2} ( a )}{1} + cot^{2} (a)) = tan^{2} (a)

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

4 cos^{2} (x) - 11 cos (x) + 7 = 0

What is the general solution for sin(a)=0.143 ?
The general solution for sin(a)=0.143 is a=0.14349…+2pin,a=pi-0.14349…+2pin