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Basile [38]
3 years ago
11

If 0 is an angle in standard position and its terminal side passes through the point

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

\frac {  5\sqrt{21} }{ - 7}

Step-by-step explanation:

Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r

{7}^{2}  +  {24}^{2}  =  {r}^{2}

49+576=

{c}^{2}

525=c^2

\sqrt{525}  = 5 \sqrt{21}

So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals

\frac{x}{r}

cos=

\frac{ - 7}{5 \sqrt{21} }

then we find secant which is the reciprocal of cos so we flip the numbers and that equals

\frac{5 \sqrt{21} }{ - 7}

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