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djgunderson
23.06.2019 •
Mathematics
Use this diagram of triangle xyz to answer the questions. 1)what is the value of side xy? 5,10,50,100 2)what is the value of sin(x)? 3/4,4/3,4/5,5/4 3)what is the value of cos(x)? 4/5,5/4,3/5,5/3 4)what is the value of tan(x)? 3/4,4/3,4/5,3/5
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Ответ:
The sides of a triangle may or may not be congruent.
The value of side XY is 10The value of sin(x) is 4/5The value of cos(x) is 3/5The value of tan(x) is 4/3(a) Side XY
This is calculated using the following Pythagoras theorem.
Take positive square roots of both sides
Hence, the value of side XY is 10
(b) sin(x)
This is calculated using the following sine ratio
So, we have:
Simplify
Hence, the value of sin(x) is 4/5
(c) sin(x)
This is calculated using the following cosine ratio
So, we have:
Simplify
Hence, the value of cos(x) is 3/5
(d) sin(x)
This is calculated using the following tangent ratio
So, we have:
Simplify
Hence, the value of tan(x) is 4/3
Read more about right triangles at:
link
Ответ:
the answer is Multiplication Property of Equality