Question

Sin(2/п+а)-cos(п+а)+tg(п+a)+ctg(3п/2+а)

Answer 1

Формулы приведения=cosА-sinА-tgА

Answer 2

Let's simplify the expression step by step:

1. Let's convert the angles from radians to degrees. π (pi) radians is equal to 180 degrees.

   2/π + α = (2/π) * 180° + α = 360°/π + α π + α = 180° + α 3π/2 + α = (3π/2) * 180° + α = 540° + α

2. Now, let's rewrite the expression with these angle measures:

   sin(360°/π + α) - cos(180° + α) + tan(180° + α) + cot(540° + α)

3. Use trigonometric identities to simplify further:

   sin(360°/π + α) = sin(α) (since sin(360°) = 0, and sin(α + 360°) = sin(α)) cos(180° + α) = -cos(α) (since cos(180°) = -1, and cos(α + 180°) = -cos(α)) tan(180° + α) = tan(α) (since tan(180°) = 0, and tan(α + 180°) = tan(α)) cot(540° + α) = cot(α) (since cot(540°) = 0, and cot(α + 540°) = cot(α))

So the simplified expression is:

sin(α) - (-cos(α)) + tan(α) + cot(α)

Now, we can further simplify:

sin(α) + cos(α) + tan(α) + cot(α)

Keep in mind that the result might differ if there was a specific value assigned to α in the original expression. If you have a specific value for α, you can substitute it into the expression to get a numerical value.