Question

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

Answer 1

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

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