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Evaluate. `(2tan53)/Cot37-cot80/Tan10` -

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Question

Evaluate.
`(2tan53^@)/(cot37^@)-cot80^@/tan10^@`

Solution

`(2tan53^@)/(cot37^@)-cot80^@/tan10^@`

`=(2tan(90^@- 37^@))/(cot37^@)-cot(90^@-10^@)/(tan10^@)`

`=(2cot37^@)/(cot37^@)-tan10^@/(tan10^@)`

= 2 - 1 = 1

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