Rewrite the expression 2sinθ(cosθ)(cotθ) in terms of sine or cosine.
2 sin T cos T cos T /sinT = 2 cos^2 T
To rewrite the expression 2sinθ(cosθ)(cotθ) in terms of sine or cosine, we can use the trigonometric identity: cotθ = cosθ/sinθ.
So, substituting cotθ with cosθ/sinθ in the expression, we get:
2sinθ(cosθ)(cosθ/sinθ)
Now, we can cancel out the sinθ in the numerator and denominator:
2(cosθ)(cosθ)
Finally, simplifying further, we have:
2cos²θ
So, the expression 2sinθ(cosθ)(cotθ) can be rewritten as 2cos²θ in terms of cosine.