What is the general solution for sin(a)=0.6625 ?

The general solution for sin(a)=0.6625 is a=0.72415…+2pin,a=pi-0.72415…+2pin

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sin(a)=0.6625

sin (a) = 0.6625

a = 0.72415 \dots + 2 πn, a = π - 0.72415 \dots + 2 πn

Degrees

a = 41.49081 \dots^{\circ} + 36 0^{\circ} n, a = 138.50918 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.6625

Apply trig inverse properties

sin (a) = 0.6625

General solutions for

sin (a) = 0.6625

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

a = arcsin (0.6625) + 2 πn, a = π - arcsin (0.6625) + 2 πn

a = arcsin (0.6625) + 2 πn, a = π - arcsin (0.6625) + 2 πn

Show solutions in decimal form

a = 0.72415 \dots + 2 πn, a = π - 0.72415 \dots + 2 πn

6 - 4 cos^{2} (x) - 9 sin (x) = 0

cos^{2} (x) + cos^{2} (3 x) = 1

tan (x) = \frac{16}{3}

\frac{1}{( sec ( a ) - tan ( a ) )} = sec (a) + tan (x)

- 2 = tan^{2} (x)

What is the general solution for sin(a)=0.6625 ?
The general solution for sin(a)=0.6625 is a=0.72415…+2pin,a=pi-0.72415…+2pin