Choose the point on the terminal side of 0. 0 = 45° a) (2.2) b) (13) c) (3,1)

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

nuais6lfp

2021-11-21

Choose the point on the terminal side of 0. 0 = 45°

a) (2.2) b) (1 \sqrt{3}) c) (\sqrt{3}, 1)

huckelig75

Beginner2021-11-22Added 11 answers

As we know from Trigonometric functions

\tan θ = \frac{y}{x}

{\tan 45}^{\circ} = \frac{y}{x}

1 = \frac{y}{x}

Now check the points whose

\frac{y}{x}

value is equal to 1. Then we can say that the point is on the terminal side of

θ

.
a) For the point (2,2)

\frac{y}{x} = \frac{2}{2} = 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}}

So the point a is the terminal side of

θ

Result: A) (2,2)

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