if 4 tan thita =3 then ( 4sin thita-cos thita /4sin thita + cos thita) is equal to
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Answer:4tanθ = 3 so, tanθ = 3/4
Now, (4sinθ - cosθ)/(4sinθ + cosθ)
First of all divide cosθ with both LHS and RHS ,
(4sinθ/cosθ - cosθ/cosθ)/(4sinθ/cosθ + cosθ/cosθ)
= (4tanθ - 1)/(4tanθ + 1)
Now, put tanθ = 3/4
= (4 × 3/4 - 1)/(4 × 3/4 + 1)
= (3 - 1)/(3 + 1)
= 2/4 = 1/2
Hence, answer is 1/2
Step-by-step explanation:
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