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Question
Find the value of the following:
`(tan45^circ)/("cosec"30^circ) + (sec60^circ)/(cot45^circ) - (5sin90^circ)/(2cos0^circ)`
Solution
tan 45° = 1, cosec 30° = 2, sec 60° = 2, cot 45° = 1, tan 45°, sin 90° = 1, cos 0° = 1
`(tan45^circ)/("cosec"30^circ) + (sec60^circ)/(cot45^circ) - (5sin90^circ)/(2cos0^circ) = 1/2 + 2/1 - (5(1))/(2(1))`
= `1/2 + 2/1 - 5/2`
= `(1 + 4 - 5)/2`
= `0/2`
= 0
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