SOLUTION: What are the steps to solving and the answers to tan 4 theta=0 and tan 4 theta=1? Please provide the answers in radians. Thank you.

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Question 1082015: What are the steps to solving and the answers to tan 4 theta=0 and tan 4 theta=1? Please provide the answers in radians. Thank you.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
tan 4 theta=0; tangent is 0 at 0, pi, and 2 pi
at 0 radians, at pi/4 radians and pi/2 radians
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tan theta=1 at pi/4 and 5 pi/4; Therefore, theta has to be pi/16 and 5 pi/16

Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website!
.
Case 1.

= 0 ====> = 0 or {{pi}}} or or ====> = 0, , , and . Answer. There are 4 solutions in the interval [,): = 0, , , and .

Case 2

= 1. ====> = or or or ====> = or or or . Answer. There are 4 solutions in the interval [,): = , , , .