1.

If 4 tanQ=3 then find the value of 4sinQ-cosQ/4sinQ+cosQ​

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

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