Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0

1 answer:

6 0

Answer:

-3/5

Step-by-step explanation:

tan = opp/adj using pathagorean the hypt is 5

cos = 3/5

tan is negative in quad 2 and 4

sin is positive in quad 1 and 2

so because tan is negative and sine is positive the cosine is negative

-3/5

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The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$