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Step-by-step explanation:
Here it is given that,
cosec thita=5/3
we have,
1+ cot^2thita= cosec^2 thita.
cot^2 thita =cosec^2 thita -1.
cot^2 thita=[5/3]^2-1
cot^2 thita=25/9-1
cot^2 tthita=25-9/9
cot^2 thita=16/9
taaking square root on both side
we. get
cot thita=4/3.
Hope it helps.
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