12) If tan A=5/12 . find the value of (sin A + COS A) sec A.

(sin(A) + cos(A)).sec(A) = 17/12

Step-by-step explanation:

tan(A) = 5/12

sin(A) = 5/13

cos(A) = 12/13

sec(A) = 1/(cos(A)) = 13/12

(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12

= 17/13.13/12

= 17/12

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b