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

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

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sin(x)= 15/17

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

2 cos (x) - sec (x) = 1

cos (x) tan (x) = 5 tan (x)

- 5 sin (5 x) = 0

16 cos^{2} (θ) = 12

cos (2 x) = 2 cos (x)

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