What is the general solution for sin(x)=-(3sqrt(10))/(10) ?

The general solution for sin(x)=-(3sqrt(10))/(10) is x=-1.24904…+2pin,x=pi+1.24904…+2pin

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sin(x)=-(3sqrt(10))/(10)

sin (x) = - \frac{3 10}{10}

x = - 1.24904 \dots + 2 πn, x = π + 1.24904 \dots + 2 πn

Solution steps

sin (x) = - \frac{3 10}{10}

Apply trig inverse properties

x = arcsin (- \frac{3 10}{10}) + 2 πn, x = π + arcsin (\frac{3 10}{10}) + 2 πn

Show solutions in decimal form

x = - 1.24904 \dots + 2 πn, x = π + 1.24904 \dots + 2 πn

cos (θ) = \frac{1}{58}

cos (4 x + 4) = sin (10 x + 44)

4 tan^{2} (x) - 3 sec^{2} (x) = 0

(sin (t) - 1) cos (t) = 0

csc (x) = 1, 0 \leq x \leq 2 π

What is the general solution for sin(x)=-(3sqrt(10))/(10) ?
The general solution for sin(x)=-(3sqrt(10))/(10) is x=-1.24904…+2pin,x=pi+1.24904…+2pin