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Sagot :
Answer:
[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]
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
[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]
49+576=
[tex] {c}^{2} [/tex]
525=c^2
[tex] \sqrt{525} = 5 \sqrt{21} [/tex]
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
[tex] \frac{x}{r} [/tex]
cos=
[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]
then we find secant which is the reciprocal of cos so we flip the numbers and that equals
[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]
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