Question

Choose the point on the terminal side of 135°.

Answer 1

Correct answer is C. (-1, 1)

Hope it helps

Answer 2

Answer:

The correct option is C. The point on the terminal side of 135° is (-1,1).

Step-by-step explanation:

The point must be lies on the second quadrant because terminal angle is 135°.

Let the required point be (x,y).

$\tan\theta=\frac{y}{x}$

$\tan(135^{\circ})=\frac{y}{x}$

$\tan(90^{\circ}+45^{\circ})=\frac{y}{x}$

Using quadrant concepts, above equation can be written as

$-\cot(45^{\circ})=\frac{y}{x}$           $[\because \cot 45^{\circ}=1]$          

$-1=\frac{y}{x}$                          ..... (1)

In option A,

$\frac{y}{x}=\frac{\sqrt{3}}{-1} =-\sqrt{3}\neq -1$

In option B,

$\frac{y}{x}=\frac{1}{-\sqrt{3}} =-\frac{1}{\sqrt{3}}\neq -1$

In option C,

$\frac{1}{-1}=-1$

Therefore option C is correct.

In option B,

$\frac{y}{x}=\frac{1}{\sqrt{3}} =\frac{1}{\sqrt{3}}\neq -1$.

Therefore correct option is C. The point on the terminal side of 135° is (-1,1).