1.

If 5 tan θ = 3, then what is the value of \((\frac{5 sin θ \,-\, 3 cos θ}{4 sin θ \,+\, 3 cos θ}) =\, ?\)

Answer»

tan θ = \(\frac{3}{5}\)

Now,

\((\frac{5 sin θ \,-\, 3 cos θ}{4 sin θ \,+\, 3 cos θ})\)

\((\frac{5 sin θ \,-\, 3}{4 sin θ \,+\, 3})\) [Dividing numerator and denominator by cosθ]

\(\frac{3 - 3}{12 + 15}\over{5}\)

= 0



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