2sinθ cosaθ cotθ

To simplify the expression 2sinθ cosaθ cotθ, we can use trigonometric identities to rewrite the terms. Let's break it down step by step.

1. Recall that the cotangent (cot) of an angle is the reciprocal of the tangent (tan) of that angle: cotθ = 1/tanθ.

2. Now substitute cotθ with its reciprocal form: 2sinθ cosaθ (1/tanθ).

3. Next, remember that the tangent (tan) of an angle is equal to the ratio of sine (sin) to cosine (cos): tanθ = sinθ/cosθ.

4. Plug in the value of tanθ in the expression: 2sinθ cosaθ (1/(sinθ/cosθ)).

5. Simplify the expression inside the parentheses by multiplying by the reciprocal: 2sinθ cosaθ (cosθ/sinθ).

6. Cancel out the sinθ term in the numerator and denominator: 2sinθ cosaθ (cosθ/1).

7. Multiply the remaining terms together: 2sinθ cosaθ cosθ.

8. Combine the cosine terms: 2sinθ (cosaθ)(cosθ).

Now, it depends on what you want to do with this expression. If you have further instructions or if you are looking for a specific value, please provide more details so I can assist you accordingly.