Last time we considered an equilateral triangle. Now we will consider an isosceles right triangle. A very rare beast in a herd of triangles. Mathematicians have known it for many thousands of years, and it is simply boring for mathematicians to tinker with it.

## Isosceles right triangle

Isosceles right triangle |

The legs of this triangle are equal to one. Once again I repeat that both legs have the same length. We do not know the length of the hypotenuse of this triangle, but we can easily calculate it using the Pythagorean theorem.

## Sine and cosine of 45 degrees

**the sine of 45 degrees**is equal to the value of

**the cosine of 45 degrees**. We take the math in hand and calculate this value.

Sine and cosine of 45 degrees |

Why did I multiply the numerator and denominator of a fraction by the square root of two? Small children do not like lumps in porridge. Mathematicians don't like square roots in denominators. Very capricious uncles and aunts.

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