Evaluate each of the following in the simplest form: `cos e c30^0+cot45^0` `cos30^0cos45^0-sin30^0sin45^0` `tan30^0sec45^0+tan60^0sec30^0` `sin30^0cos45^0+cos30^0sin45^0`

Explanation

`(i)cos e c30^0+cot45^0`

`=2+1`

`=3`


`(ii)cos30^0cos45^0-sin30^0sin45^0`

`=(sqrt3)/2xx1/(sqrt2)-1/2xx1/(sqrt2)`

`=(sqrt3-1)/(sqrt2)`

`(iii)tan30^0sec45^0+tan60^0sec30^0`

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