What is the angle sin equals cos?

What is the angle sin equals cos?

45 degrees

What is sin α × cos α equal to
Sin α divided by cos α equals Tan α, so what is sin α multiplied by cos α

sinα×cosα=sin2α/2
prove:
sin2α＝sin（α＋α）＝sinαcosα＋cosαsinα＝2sinαcosα
It has been proved

If | cos α | / cos α + sin α / | sin α | = 0, try to judge the sign of sin (COS α) * cos (sin α)

+
Cos α and sin α are positive and negative
When cos + sin -
sin（cosα）+；
cos（sinα）+；
Multiply by+
When cos - Sin +
sin（cosα）+；
cos（sinα）+；
Multiply by+

Given that α ∈ (0, π) and sin α + cos = m (0,1), try to judge the sign of sin α - cos α

Because (sin α + COS) 2 = 1 + 2Sin α cos α (0,1), so 2Sin α cos α is (- 2, - 1), so (sin α - cos α) 2 = 1-2, 2Sin α cos α is in (2,3), and because α ∈ (0, π), so sin α is greater than cos α, so sin α - cos α is between radical 2 and radical 3, that is, sin α - cos α is positive