(07.01 HC) Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share? (10 points)

Sin x = 5/13

Cos y = 5/13

Sin x = cos y

Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find sin x:

Sin x = Opp/Hyp

Opp = 5

Hyp = √(12² + 5²) (Pythagorean Theorem)

Hyp = 13

Sin x = 5/13

✔️Find cos y:

Cos y = Adj/Hyp

Hyp = 13 (calculated already)

Adj = 5

Cos y = 5/13

✔️Relationship between sin x and cos y is:

Sin x = cos y = 5/13

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

correct answer:

b.(19,-2)