Question

Sin(180+a)sin(360+a)/tg(180+a)cos(270+a)

Answer 1

Объяснение:

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Answer 2

Ответ:

На по алгебре решение.

Answer 3

Let's simplify the expression step by step:

1. Start with the expression:

   (sin(180+a) * sin(360+a)) / (tan(180+a) * cos(270+a))

2. Use the trigonometric identities to simplify the expression:

   • sin(180+a) = -sin(a)
   • sin(360+a) = sin(a)
   • tan(180+a) = -tan(a)
   • cos(270+a) = -sin(a)

3. Substitute these values into the expression:

   (-sin(a) * sin(a)) / (-tan(a) * (-sin(a)))

4. Simplify further:

   (sin(a) * sin(a)) / (tan(a) * sin(a))

5. Cancel out the common factor of sin(a) in the numerator and denominator:

   (sin(a)) / (tan(a))

So, the simplified expression is:

sin(a) / tan(a)

Since tan(a) = sin(a) / cos(a), you can further simplify the expression:

sin(a) / (sin(a) / cos(a))

Now, invert and multiply:

(sin(a)) * (cos(a) / sin(a))

The sine terms cancel out:

cos(a)

So, the simplified expression is:

cos(a)