Question

It's cute 3 tan theta is equal to 3 sin theta find sin square theta minus cos square theta

Answer 1

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ur answer is -1.

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Answer 2

$Hey\:there$‼

$QUESTION\:CORRECTION$ :- If √3 tan theta = 3 sin theta. Find sin² theta – cos² theta.

$SOLUTION$ :-

↪ Given that, √3 tan θ = 3 sin θ

√3 sin θ / cos θ = 3 sin θ

cos θ = √3 sin θ / 3 sin θ

cos θ = 1 / √3

Squaring both sides ,

cos² θ = ( 1 / √3 )²

cos² θ = 1 / 3

↪ As we know ,

sin² θ + cos² θ = 1

sin² θ = 1 – cos² θ

sin² θ = 1 – ( 1 / 3 )

sin² θ = ( 3 – 1 ) / 3

sin² θ = 2 / 3

↪ Now, sin² θ – cos² θ

= 2 / 3 – 1 /3

= ( 2 – 1 ) / 3

= 1 / 3