I don't know how to do this problem.....please help
1 answer:
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Answer: 3 zeroes.
Explanation:-
- The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has atleast one complex root.
- Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.
The given function is
Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.
We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator