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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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Which is the first option (counting from the top).

<h3>How to find the range?</h3>

When we have a relation:

x⇒f(x) = y

We define the domain as the set of possible inputs, and the range as the set of possible outputs.

In this case, we know that the domain is:

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And the transformation is:

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So, if we apply that to each one of the pairs in the domain, we will get:

f(0, 5) = (-2*0, 5) = (0, 5)

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Then we can conclude that the range is:

(0, 5), (-16, -1), (12, 4)

Which is the first option (counting from the top).

If you want to learn more about domain and range:

brainly.com/question/10197594

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