if cos A =3/5 than find the value of sinA-cosA / 2tanA
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Answer:
answer :3/40
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Step-by-step explanation:
Question: if cos A =3/5 then find the value of sinA - cos A/2tanA?
Solution:-
Given ,cos A=3/5
cos A = adj/hyp
( by using Pythagoras theorem)
AC^2=AB^2+BC^2
5^2=3^2+BC^2
25=9+BC^2
25-9=BC^2
16=BC^2( Transfer square to left side )
_/16=BC
|4=BC|
______________________________
WE HAVE TO FIND THE VALUE OF Sin A-cos A/2tanA
Here,
Sin A =opp/hyp=4/5
we know ,cos A= 3/5( given)
tan A=opp/ adj= 4/3
=sinA-cosA/2tanA
=4/5-3/5/2×4/3
1/5/8/3
( the denominator become reciprocal)
1/5×3/8=3/40
hence the value is 3/40
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