What is the general solution for sin(a)= 24/25 ?

The general solution for sin(a)= 24/25 is a=1.28700…+2pin,a=pi-1.28700…+2pin

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sin(a)= 24/25

sin (a) = \frac{24}{25}

a = 1.28700 \dots + 2 πn, a = π - 1.28700 \dots + 2 πn

Degrees

a = 73.73979 \dots^{\circ} + 36 0^{\circ} n, a = 106.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{24}{25}

Apply trig inverse properties

sin (a) = \frac{24}{25}

General solutions for

sin (a) = \frac{24}{25}

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

a = arcsin (\frac{24}{25}) + 2 πn, a = π - arcsin (\frac{24}{25}) + 2 πn

a = arcsin (\frac{24}{25}) + 2 πn, a = π - arcsin (\frac{24}{25}) + 2 πn

Show solutions in decimal form

a = 1.28700 \dots + 2 πn, a = π - 1.28700 \dots + 2 πn

32 sin (v) + 32 cos (v) = 3

4 sin (x) + 5 cos (x) = 6

sin^{2} (x) = \frac{( 5 m - 3 )}{3}

\frac{3}{2} cos (x) + \frac{1}{2} sin (x) = \frac{1}{2}

cos (x) = \frac{4}{3.3 8 ^{2} + 2 ^{2}}

What is the general solution for sin(a)= 24/25 ?
The general solution for sin(a)= 24/25 is a=1.28700…+2pin,a=pi-1.28700…+2pin