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A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Sagot :

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

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