Please help with detail for 11-12

Step-by-step explanation:

11) looking at the right angle triangle,

Hypotenuse = y

Adjacent side = 13

Opposite side = x

To determine y, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 45 = 13/y

y = 13/Cos 45 = 13/0.7071

y = 18.38

Also, x = 13 because the triangle is an isosceles right angle triangle.

12) looking at the right angle triangle,

Hypotenuse = x

Adjacent side = y

Opposite side = 21

To determine x, we would apply

the sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 60 = 21/x

x = 21/Cos 60 = 21/0.5

x = 42

To determine y, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 60 = 21/y

y = 21/tan60 = 21/1.7321

y = 12.12

step-by-step explanation:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.