Question
Download Solution PDFA rectangle is 48 cm long and 14 cm wide. If the diagonal makes an angle θ with the longer side, then what is (sec θ + cosec θ) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A rectangle is 48 cm long and 14 cm wide
Formula Used:
sec θ = Hypotenus/Base
cosec θ = Hypotenus/Perpendicula
Pythagorus theorem
(Hypotenus)2 = (Perpendicular)2 +(Base)2
Calculation:
Triangle ABC is right angle triangle:
Hypotenuse = AC = x =
Here,
Sec θ = AC/AB = 50/48
Cosec θ = AC/BC = 50/14
Hence,
(sec θ + cosec θ) = (50/48) + (50/14) = 1550/336 = 775/168
∴ The value sec θ + cosec θ of is 775/168
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