the best answer gets brainiest! <3 What is p ÷ r equal to?

tan x°
tan y°
sin y°
cos x°

sorry for sloppy typing

Step-by-step explanation:

Answer

Making use of given relations , we have

cos 2x=tan 2 y=sec 2 y−1=cot 2 z−1or 1+cos 2x= 1−cos 2 z cos 2 z= 1−tan 2 xtan 2 x or1+cos 2 x= cos 2 x−sin 2 x sin 2 x

On changing to sin x, we get,

(2−sin 2 x)(1−2−sin 2 x)=sin 2 xor2sin 4

x−6sin 2x+2=0 orsin 4 x−3sin 2x+1=0∴sin 2x= 23± 9−4= 23±5 =23− 5

We have reject the value 23+ 5 as it is >1 or sin 2 x= 46−25 =( 25 −1 ) 2∴sinx= 25 −1 =2. 45−1 =2=sin18∘

By Symmetry we can say that,

sin x = sin y = sin z = 2sin18 ∘

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.'

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