SOLUTION: find all t in the interval [0,2pi] satisfying (sint)^2 - sint = 2
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Question 328061: find all t in the interval [0,2pi] satisfying (sint)^2 - sint = 2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let )
.
(u\ +\ 1)\ =\ 0)
Hence,
or
Substitute back:
\ =\ 2)
or
\ =\ -1)
Discard the first root because the range of the Sine function is 
On 
, \ =\ -1\ \ \Rightarrow\ t\ =\ \sin^{-1}(-1)\ \ \Rightarrow\ t\ =\ \frac{3\pi}{2})
John
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