Question

find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1

Answer 1

check the picture below, is a negative angle, thus, is going "clockwise"

$\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1} \\\\\\ -1\cdot tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y \\\\\\ -1\cdot \cfrac{-1}{-1}=y\implies -1$

Answer 2

The point on the terminal side is (1,-1) and this can be determined by using the trigonometric functions.

Given :

The point on the terminal side of θ = negative three $\pi$ divided by four that has an x coordinate of negative 1.

The following steps can be used in order to determine the point on the terminal side:

Step 1 - Write the given expression.

$\theta = -\dfrac{3\pi}{4}$

Step 2 - The value of the trigonometric function is given by:

$\rm tan \dfrac{3\pi}{4} =-1$

Step 3 - The trigonometric function can also be written as:

$\rm tan \theta=\dfrac{y}{x}=-1$

Step 4 - Substitute the value of 'x' in the above expression.

y = -1

So, the point on the terminal side is (1,-1).

For more information, refer to the link given below:

https://brainly.com/question/10283811