If tanA=3/4 then find the value of (3+2cosecA)(1-3secA)/5+secA)(2-3cosecA)
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Answer:
326.390625
Step-by-step explanation:
tan A=3/4
cot A= 4/3
sin A=3/5
cosec A= 5/3
cos A=4/5
sec A= 5/4
(3+2cosecA)=(3+2×5/3)
(3+10/3)
6.33
(1-3secA)=(1-15/4)
= -2.75
(5+secA)=(5+5/4)
=6.25
(2-3cosecA)=(2-15/3)
= -3
(3+2cosecA)(1-3secA)/5+secA)(2-3cosecA)
(3+2×5/3)(1-3×5/4)(5+5/4)(2-3×5/3)
(3+10/3)(1-15/4)(5+5/4)(2-15/3)
(6.33)(-2.75)(6.25)(-3)
=326.390625
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