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How many valuesofthetabetween 0^(@)and360^(@)satisfytantheta=kne0, where k is a given number ? |
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Answer» 1 `tantheta=k,kne0` `rArrtheta=tan^(-1)k` Now , we know , If`tan^(-1)x=theta`then`-ooltxltooand(-pi)/(2)ltthetalt(pi)/(2)` Thus, `theta`will have 2 values between `0^(@)and360^(@)`. orThe equation`tantheta=k,-ooltkltoo`for any real values of k there are two values of the form `alphaand pi+alpha`,in the INTERVAL`0lethetale2pi`,which SATISFIES the given equation. |
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