Question

Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)



cos(θ)= 

sin(θ)=  

tan(θ)=   

cos(ϕ)=  

sin(ϕ)= 

tan(ϕ)= 

​

Answer 1

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Answer 2

The value of the trigonometric ratios have been determined.

What are Trigonometric Ratios ?

In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.

The side length of the triangle as given in the figure is 18 , 24 , 30

The value of the trigonometric ratios are

cos θ = Base / Hypotenuse

sin θ =  Perpendicular / hypotenuse

tan θ =  Perpendicular / Base

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Therefore the value of the trigonometric ratios have been determined.

To know more about Trigonometric Ratios

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