SOLUTION: xyz is a right angled triangle at y if 2yz = 4xy find 1- Sin power of 2 x - cos 2 z 2 sin x X Cos z - tan Z how can i solve this ?

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Question 921678: xyz is a right angled triangle at y if
2yz = 4xy find
1- Sin power of 2 x - cos 2 z
2 sin x X Cos z - tan Z
how can i solve this ?

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
xyz is a right angled triangle at y if
2yz = 4xy find
1-sinēx - cosēz
2sin(x)cos(z) - tan(z)
2yz = 4xy

Divide both sides by 2y

z = 2x

x and z are complementary because they are
the two acute angles of a right triangle.

So z+x = 90° and z = 90°-x

90°-x = 2x
  90° = 3x
  30° = x

And since z = 2x

z = 2(30°) = 60°

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1 - sinēx - cosēz
1 - sinē(30°) - cosē(60°)
1 - %281%2F2%29%5E2 - %281%2F2%29%5E2
1 - 1%2F4 - 1%2F4
1 - 1%2F2
1%2F2

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2sin(x)cos(z) - tan(z)

2sin(30°)cos(60°) - tan(60°)

2%281%2F2%29%281%2F2%29+-+sqrt%283%29

1%2F2+-+sqrt%283%29

%281-2sqrt%283%29%29%2F2

Edwin