Question

If √3tan∅=3sin∅ then(sin²∅–cos²∅)=?
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Answer 1

Answer:

1/3

Step-by-step explanation:

$\sqrt{3}$tan∅ = 3sin∅

tan∅ = $\sqrt{3}$sin∅

$\frac{sin}{cos}$∅ = $\sqrt{3}$sin∅

$\frac{1}{cos}$∅ = $\sqrt{3}$sin∅ * $\frac{1}{sin}$∅

$\frac{1}{cos}$∅ = √3

cos∅ = $\frac{1}{\sqrt{3} }$

sin²∅ + cos²∅ = 1

sin²∅ = 1-cos²∅

sin²∅ = 1 - 1/3

sin²∅ = 2/3

2/3 - 1/3

⇒1/3