What is the general solution for sin(a)= 15/17 ?

The general solution for sin(a)= 15/17 is a=1.08083…+2pin,a=pi-1.08083…+2pin

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sin(a)= 15/17

sin (a) = \frac{15}{17}

a = 1.08083 \dots + 2 πn, a = π - 1.08083 \dots + 2 πn

Degrees

a = 61.92751 \dots^{\circ} + 36 0^{\circ} n, a = 118.07248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{15}{17}

Apply trig inverse properties

sin (a) = \frac{15}{17}

General solutions for

sin (a) = \frac{15}{17}

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

a = arcsin (\frac{15}{17}) + 2 πn, a = π - arcsin (\frac{15}{17}) + 2 πn

a = arcsin (\frac{15}{17}) + 2 πn, a = π - arcsin (\frac{15}{17}) + 2 πn

Show solutions in decimal form

a = 1.08083 \dots + 2 πn, a = π - 1.08083 \dots + 2 πn

cot (t) = 0

cot (x) = - \frac{1}{2}

43 sin (3 θ + 20) = 4 cos (3 θ + 20)

tan (x) = \frac{300}{400}

tan^{2} (x) - tan (x) = 0, (180, 270)

What is the general solution for sin(a)= 15/17 ?
The general solution for sin(a)= 15/17 is a=1.08083…+2pin,a=pi-1.08083…+2pin