Look at the figure below if sin y= 7/q and tan y = 7/r what is the value of sec y

sec y = q/r

Step-by-step explanation:

Trigonometric functions are functions that are used to solve for the angle or side that is not given or missing in a Right Angled Triangle.

In a right angled triangle, we have the Hypotenuse ( longest side), Opposite side and Adjacent side.

Examples of Trigonometric functions include: Sine(sin), Cosine(cos), Tangent(tan), Cosecant(cosec) , Secant(sec) , Cotangent (cot) .

In a right angled triangle,

a) sin θ = Opposite/ Hypothenuse.

b) cos θ = Adjacent/ Hypotenuse

c) tan θ = Opposite/ Adjacent

d) cosec θ = reciprocal of sine function = 1/ sin θ

= Hypotenuse/ Opposite

e) sec θ = reciprocal of cosine function = 1/ cos θ

= Hypotenuse / Adjacent

f) cot θ = reciprocal of the tangent function = 1/ tan θ

= Adjacent/ Opposite

We were told in the question that:

sin y= 7/q = Opposite/Hypotenuse

tan y = 7/r = Opposite/Adjacent

Hence,

Opposite side = 7

Adjacent side = r

Hypotenuse = q

We are told to find the value of sec y.

From the explanation I gave above,

sec y = Hypotenuse/ Adjacent side

Hence,

sec y = q/r

the answer is the third option

Step-by-step explanation:

hope it helps

irrational, cannot

ratio is 2 : 9

the answer is three

13.5 : 3