Question

which are true? I know 12/8 is one but what is the other?

Answer 1

@dan815 ?

Answer 2

What do you know about trigonometric ratios and the Pythagorean theorem?

Answer 3

not alot I get confused easily @StudyGurl14

Answer 4

\(\large tan(\theta)=\Large\frac{side~opposite~angle}{side~adjacent~angle}=\frac{15}{8}\)

Answer 5

To find the values of \(\large sin(\theta)\) and \(\large cos(\theta)\), you need to find the length of the hypotenuse.

Answer 6

i'mconfused @Studylight

Answer 7

You know the lengths of two sides of the triangle, but you need to find the length of the hypotenuse. Use the Pythagorean Theorem
\(\large a^2+b^2=c^2\rightarrow (8)^2+(15)^2=c^2\rightarrow c=\sqrt{64+225}\rightarrow c=\sqrt{289}=17\)

Answer 8

(cut off)
\(\large\rightarrow c=\sqrt{289}=17=\tt the~hypotenuse\)

Answer 9

So...
\(\large sin(\theta)=\frac{15}{17}\)
and
\(\large cos(\theta)=\frac{8}{17}\)

Answer 10

And....
\(\large sec(\theta)=\frac{17}{15}\)
and...
\(\large csc(\theta)=\frac{17}{8}\)

Answer 11

And...
\(\large cot(\theta)=\frac{8}{15}\)

Answer 12

@KierseyClemons