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Bad White [126]
3 years ago
15

What is the missing justification in the proof?

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0
The missing justification in the proof is
<span>B) Substitution property of equality

The expression for sin</span>² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.
Elenna [48]3 years ago
5 0

The <em>correct answer</em> is:


B) Substitution property of equality


Explanation:


sin²x and cos²x have been added together, making

sin²x + cos²x.


Since we know that sin x = a/c, this means that sin²x = (a/c)² = a²/c².

Since we know that cos x = b/c, this means that cos²x = (b/c)² = b²/c².


These two values have been substituted for sin²x + cos²x, making

a²/c² + b²/c².


Since we substituted, this means it is the substitution property of equality.

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in standard form this is

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