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ollegr [7]
3 years ago
6

AB Complementary SinA = 4/5 find Cos b​

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer:

cos\:b = \frac{4}{5}

Step-by-step explanation:

It is given that: a and b are complementary.

\therefore a + b = 90\degree\\\\\therefore a = 90\degree - b\\\\Assuming\: sin \: ratio \: on\: both\: sides\\\\sin\:a = sin(90\degree - b)\\\\\therefore \frac{4}{5} = sin(90\degree - b)...(\because sin\:a = \frac{4}{5})\\\therefore \frac{4}{5} =cos\:b...\{\because sin(90\degree - \theta) = cos\: \theta\} \\\\\huge\purple{\boxed{\therefore cos\:b = \frac{4}{5}}}\\

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