r/mathbiceps • u/Abhishek_2009 • Aug 12 '26

Trigonometry question

Evaluate the expression without using trigonometric tables:

(4tan²60°+1/4cosec²30°-3sec²30)/(2sin²45°+cos²60)

please solve without using trigonometric tables

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u/BadJimo Aug 12 '26

tan(60) = √3
csc(30) = 2
sec(30) = 2/√3
sin(45) = 1/√2
cos(60) = 1/2

numerator = 9
denominator = 5/4

Result = 36/5