1.

How many valuesofthetabetween 0^(@)and360^(@)satisfytantheta=kne0, where k is a given number ?

Answer»

1
2
4
Many

Solution :GIVEN, equation is
`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.


Discussion

No Comment Found

Related InterviewSolutions