If tanᶿ = 4/5, Find the value of (5 sinᶿ - 3cosᶿ)/(5 sinᶿ - 2cosᶿ)
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tan∅=sin∅/cos∅=4/5
⇒sin∅=4/√41 and cos∅=5/√41
(5 sinᶿ - 3cosᶿ)/(5 sinᶿ - 2cosᶿ)=(5*4/√41 - 3*5/√41)/(5*4/√41 - 2*5/√41)
=(15/√41)/(10/√41)=3/2
⇒sin∅=4/√41 and cos∅=5/√41
(5 sinᶿ - 3cosᶿ)/(5 sinᶿ - 2cosᶿ)=(5*4/√41 - 3*5/√41)/(5*4/√41 - 2*5/√41)
=(15/√41)/(10/√41)=3/2
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