What is the general solution for sin(a)= 7/25 ?

The general solution for sin(a)= 7/25 is a=0.28379…+2pin,a=pi-0.28379…+2pin

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sin(a)= 7/25

sin (a) = \frac{7}{25}

a = 0.28379 \dots + 2 πn, a = π - 0.28379 \dots + 2 πn

Degrees

a = 16.26020 \dots^{\circ} + 36 0^{\circ} n, a = 163.73979 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{7}{25}

Apply trig inverse properties

sin (a) = \frac{7}{25}

General solutions for

sin (a) = \frac{7}{25}

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

a = arcsin (\frac{7}{25}) + 2 πn, a = π - arcsin (\frac{7}{25}) + 2 πn

a = arcsin (\frac{7}{25}) + 2 πn, a = π - arcsin (\frac{7}{25}) + 2 πn

Show solutions in decimal form

a = 0.28379 \dots + 2 πn, a = π - 0.28379 \dots + 2 πn

3 sin^{2} (x) + 2 = 5 sin (x)

sin (θ) = 0.65

2 = - 4 cos (θ)

3 \cdot sin (x) = 3 \cdot cos (x)

12 sin (3 x) = 0

What is the general solution for sin(a)= 7/25 ?
The general solution for sin(a)= 7/25 is a=0.28379…+2pin,a=pi-0.28379…+2pin