Question

if √3 tan a = 3 sin a Find sin^2a - cos^2a

Answer 1

Answer:

1/3

Step-by-step explanation:

√3 tan a = 3 sin a

=> √3Sina/cos a= (√3)²Sina

 => cosa = 1/√3

Now Sin²a - Cos²a

//Sin²θ + Cos²θ = 1

=> 1 -  Cos²a - Cos²a

=> 1 - 2Cos²a

=> 1 - 2(1/√3)²

=> 1 - 2/3

=> 1/3.