Question

2 sin ((П/6)-a)- cos a + (Корень из )3 * sin a

Answer 1

Ответ:

0

Объяснение:

на фотографии все написано

Answer 2

To simplify the expression 2 sin ((π/6)-a) - cos a + √3 * sin a, we can start by using the angle subtraction formula for sine:

sin (α - β) = sin α cos β - cos α sin β

Applying this formula, we have:

2 sin ((π/6) - a) = 2(sin (π/6) cos a - cos (π/6) sin a) = 2[(1/2)cos a - (√3/2)sin a] = cos a - √3 sin a

Now the expression becomes:

cos a - √3 sin a - cos a + √3 sin a + √3 sin a

The -cos a and +cos a terms cancel each other out, leaving us with:

√3 sin a + √3 sin a = 2√3 sin a

Therefore, the simplified expression is 2√3 sin a.