Question

Помогите tg 135°=-1?

Answer 1

Да, т.к. tg 45 =1, tg90 не существует 45+45+45=135, следовательно да, tg135=-1

Answer 2

Sure, I'd be happy to help you with that!

The value of tg(135°) can be calculated using the tangent function, which is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side in a right triangle. However, it's essential to note that 135 degrees is not an acute angle; it is a reference angle in the second quadrant, where the tangent function is negative.

To find the tangent of 135 degrees, we first need to find its reference angle in the first quadrant. The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. For 135 degrees, its reference angle is 135° - 90° = 45°.

Now, the tangent of 45 degrees is 1 because the opposite and adjacent sides of a 45-45-90 right triangle are equal, so the ratio is 1/1 = 1.

Since 135 degrees is in the second quadrant, the tangent function is negative. Therefore, tg(135°) = -1.

In summary: tg(135°) = -1