What is the general solution for sin(a)= 3/4 ?

The general solution for sin(a)= 3/4 is a=0.84806…+2pin,a=pi-0.84806…+2pin

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sin(a)= 3/4

sin (a) = \frac{3}{4}

a = 0.84806 \dots + 2 πn, a = π - 0.84806 \dots + 2 πn

Solution steps

sin (a) = \frac{3}{4}

Apply trig inverse properties

a = arcsin (\frac{3}{4}) + 2 πn, a = π - arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

a = 0.84806 \dots + 2 πn, a = π - 0.84806 \dots + 2 πn

sin (7 x) + sin (x) = 0, 0 \leq x \leq 2 π

t, - 2 sin (t) + 2 cos (2 t) = 0

2 cos (x) - 3 sin (x) = 1

cos^{2} (x) = tan (x)

sin^{2} (x) - 6 sin (x) + 3 = 0

What is the general solution for sin(a)= 3/4 ?
The general solution for sin(a)= 3/4 is a=0.84806…+2pin,a=pi-0.84806…+2pin