find the value of theta for 0

Question

find the value of theta for 0<theta<2pi

sin^3 theta= -1/8

would you just flip the numbers and make it sin^3=8 n sq each side? thanks

phi · Answer

no

can you solve for x in
$$ x^3 = -\frac{1}{8} $$?

anonymous · Answer

2^-3

phi · Answer

you need to review  cube roots

x=  -½   (because -½ * -½ * -½ = -⅛

that means in your problem
sin theta= -½

now find the "inverse sin"

but you (should) know sin 30 deg = ½

phi · Answer

in case you did not know
$$ \sin^3 \theta  \text{ means }  ( \sin \theta)^3 $$

phi · Answer

I always associate  "sin" with "y"  in the unit circle

-½  means the y value is negative.  there are two quadrants with a negative y
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