What is the general solution for sin(A)=0.40088 ?

The general solution for sin(A)=0.40088 is A=0.41247…+2pin,A=pi-0.41247…+2pin

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sin(A)=0.40088

sin (A) = 0.40088

A = 0.41247 \dots + 2 πn, A = π - 0.41247 \dots + 2 πn

Solution steps

sin (A) = 0.40088

Apply trig inverse properties

A = arcsin (0.40088) + 2 πn, A = π - arcsin (0.40088) + 2 πn

Show solutions in decimal form

A = 0.41247 \dots + 2 πn, A = π - 0.41247 \dots + 2 πn

cos (x) - sin (3 x) = 0

sin^{2} (x) = 20 - sin (x)

\frac{cos ( x )}{1 - cos ^{2} ( x )} = \frac{2}{3}

2 cos (x) - cos^{2} (x) = 0

- sec^{2} (x) - 5 = 2 sec (x) - 4

What is the general solution for sin(A)=0.40088 ?
The general solution for sin(A)=0.40088 is A=0.41247…+2pin,A=pi-0.41247…+2pin