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Question
Evaluate:
`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`
Solution
`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`
=`((1/2))/((1/sqrt(2))) + 1/2 - ((sqrt(3)/2))/1 +((sqrt(3))/2)/1`
=`sqrt(2)/2+1/2-sqrt(3)/2+sqrt(3)/2`
=`(sqrt(2)+1)/2`
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