Choose the point on the terminal side of 0. 0=2π3 a) (1,−1) b) (1,3) c) (−3,1)

Expert answers to "Choose the point on the terminal side of..."

luipieduq3

2021-11-16

Choose the point on the terminal side of 0.

0 = 2 \frac{π}{3}

(1, - 1)

(1, \sqrt{3})

(- \sqrt{3}, 1)

Wasither1957

Beginner2021-11-17Added 17 answers

As we know from the Trigonpmetric functions

\tan θ = \frac{y}{x}

\tan \frac{2 π}{3} = \frac{y}{x}

- \sqrt{3} = \frac{y}{x}

Now check the points whose

\frac{y}{x}

value is equal to

- \sqrt{3}

. Then we can say that the point is on the terminal side of

θ

a) For the point (-1,1)

\frac{y}{x} = \frac{1}{- 1} = - 1

b) For the point

(1, \sqrt{3})

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

c) For the point

(- \sqrt{3}, 1)

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

So the point b is the terminal of

θ

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