SOLUTION: tan 2 theta × tan 3 theta =1.....then cos 5 theta =?

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Question 1086576: tan 2 theta × tan 3 theta =1.....then cos 5 theta =?
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
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If  tan%282%2Atheta%29+%2A+tan%283%2Atheta%29 = 1   then

    2%2Atheta = pi%2F2 - 3%2Atheta%29,

    which implies  5%2Atheta%29 = pi%2F2,

    and then  cos%285%2Atheta%29 = 0.