what is the modulus of 1/5+12i
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1
Answer:
1/13
Step-by-step explanation:
1/(5+12i)
=1*(5-12i)/[(5+12i)*(5-12i)]
=(5-12i)/(5²-12i²)
=(5-12i)/(25+144)
=(5-12i)/169
|1/(5+12i)|
=|(5-12i)/169|
=√[(5/169)² + (-12/169)²]
=√[(25+144)/169²]
=√[1/169]
=1/13
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