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Mathematics 9 Online
OpenStudy (anonymous):

sin(3x)=-0.7843

OpenStudy (anonymous):

\[0 degrees \le x <360 degrees\]

OpenStudy (kc_kennylau):

Find 3x first

OpenStudy (anonymous):

i took the inverse sin of -.07843=-51.655 not exactly sure wat to do next

OpenStudy (kc_kennylau):

If sin(3x)=-0.7843, what's the general formula for the value of 3x?

OpenStudy (anonymous):

not sure

OpenStudy (kc_kennylau):

What's the period of sine?

OpenStudy (kc_kennylau):

Other than that, the formula \(\sin(180^\circ-x)=\sin x\) may help you.

OpenStudy (unklerhaukus):

sin(3x) = -0.7843 arcsin( sin(3x) ) = arcsin( -0.7843 ) 3x = arcsin( -0.7843 ) x = 1/3 arcsin( -0.7843 )

OpenStudy (unklerhaukus):

you found arcsin(-0.7843) = -51.655° to get x, just divide this number by three

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