Question

sin A=4/5 then sin A-cos A /2tan A
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Answer 1

Answer:

accdng to pythagoras theorem..cos a =3/5 and tan a = 4/3

4/5-3/5=1/5

(1/5)/2(4/3)=1/5/(8/3)

answer is 3/40

Step-by-step explanation:

Answer 2

Step-by-step explanation:

sin A=4/5

sin A= opposite/hypotenuse

let,

opposite=4x

hypotenuse=5x

hence,

adjacent=3x (from Pythagorean triplets)

cos A= adjacent/hypotenuse

cos A= 3x/5x

cos A= 3/5

tan A= sin A/cos A

tan A= (4/5)/(3/5)

tan A= 4/3

sin A-cos A/2 tan A

=(4/5)-(3/5)/2(4/3)

=(1/5)/(8/3)

=3/40