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 = 241.92751 \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

tan (θ) = 7

0 = sin (x^{2})

3 cos (2 θ) = 0

4 cos (2 x) + 2 sin (x) = 1, 0^{\circ} \leq x \leq 36 0^{\circ}

3 csc (θ) + 5 = 0

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