Answer:
Step-by-step explanation:
You can’t just substitute 0 for θ. 0 is a constant, not a variable.
secθ = -13/5
cosθ = 1/secθ = -5/13
sin²θ = 1 - cos²θ = 144/169
sinθ = -12/13
cscθ = 1/sinθ = -13/12
tanθ = sinθ/cosθ = 12/5
cotθ = 1/tanθ = 5/12
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
Answer:
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Step-by-step explanation:
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