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Good Morning
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Here's your answer
4tanX = 3
tanX = 3/4
sec²X - tan²X = 1
sec²X = 1 + tan²X
sec²X = 1 + 9/16 = (16+9)/16
sec²X = 25/16
secX = 5/4
cosX = 4/5
sin²X + cos²X = 1
sin²X = 1 - cos²X
sin²X = 1 - 16/25 = (25-16)/25
sin²X = 9/25
sinX = 3/5
Hence,
4sinX - cosX + 1
= 12/5 - 4/5 + 1
= (12-4+5)/5
= 13/5
4sinX + cosX + 1
= 12/5 + 4/5 + 1
= (12+4+5)/5
= 21/5
Therefore,
(4sinX - cosX + 1)/(4sinX + cosX + 1)
= (13/5) / (21/5)
= 13/21
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Hope this helps you mate.......
Please mark it as brainliest........!!!!!!!!!
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