Question

Sin45(градусов) : cos45(градусов) ​

Answer 1

По одной таблице выходит:

sin45° : cos45° =​ $\frac{\sqrt{2} }{2} : \frac{\sqrt{2} }{2} = \frac{\sqrt{2} }{2} * \frac{2}{\sqrt{2} } = 1$

Answer 2

Sin 45°=√2/2

Cos 45°=√2/2

√2/2:√2/2=√2/2•2/√2=1

Answer 3

To find the value of sin(45 degrees) divided by cos(45 degrees), we first need to determine the numerical values of sin(45 degrees) and cos(45 degrees).

In trigonometry, for a right-angled triangle where one angle is 45 degrees, the two sides adjacent to the 45-degree angle are equal, and the hypotenuse is the square root of 2 times the length of the sides. So, if we consider the side length to be 1, then the hypotenuse will be √2.

Now, using the definitions of sine and cosine for a right-angled triangle:

sin(45 degrees) = Opposite / Hypotenuse = 1 / √2

cos(45 degrees) = Adjacent / Hypotenuse = 1 / √2

Now, to find sin(45 degrees) divided by cos(45 degrees):

sin(45 degrees) / cos(45 degrees) = (1 / √2) / (1 / √2)

When dividing by a fraction, you invert the second fraction and multiply:

sin(45 degrees) / cos(45 degrees) = (1 / √2) * (√2 / 1)

The square root of 2 in the numerator and denominator cancels out:

sin(45 degrees) / cos(45 degrees) = 1 * 1

Therefore, sin(45 degrees) divided by cos(45 degrees) is equal to 1.