What is the general solution for solvefor x,sin(x)=-7/25 ?

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

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solvefor x,sin(x)=-7/25

solve for

x, sin (x) = - \frac{7}{25}

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

Degrees

x = - 16.26020 \dots^{\circ} + 36 0^{\circ} n, x = 196.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - \frac{7}{25}

Apply trig inverse properties

sin (x) = - \frac{7}{25}

General solutions for

sin (x) = - \frac{7}{25}

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

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

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

Show solutions in decimal form

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

\frac{1}{tan ( α )} + tan (α) = \frac{1}{sin ( α )}

tan (2 θ) = \frac{- 81}{81}

sin (θ) cos (2 θ) - cos (2 θ) = 0

tan (θ) = - \frac{7}{6}

8 sin^{2} (x) - 1 = 5

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