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3 years ago

Find the exact value of the expression

Mathematics

1 answer:

Serhud [2]3 years ago

6 0

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

sec Ф = 9/2

tan Ф = ?

To solve this problem use trigonometric functions.

1.- The first condition is that the angle must be in the fourth quadrangle

(270° < Ф < 360°).

2.- Write the trigonometric function sec.

sec Ф = hypotenuse / adjacent side and sec Ф = 9/2

then, hypotenuse = 9 adjacent side = 2

3.- Use the Pythagorean theorem to find the adjacent side.

Hypotenuse² = Opposite side² + Adjacent side²

-Solve for Opposite side

Opposite side² = Hypotenuse² - Adjacent side sie²

-Substitution

Opposite side² = 9² - 2²

-Simplification

Opposite side² = 81 - 4

Opposite side² = 77

Opposite side = √77

4.- Find the tan Ф

tan Ф = Opposite side/Adjacent side

-Substitution

tanФ = -√77 / 2 It is negative because in the fourth quadrangle

tan is negative.

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Answer:

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Step-by-step explanation:

Here's a short table of heights:

day 0: height = 1

day 1: height = 1 + (1/2)(1) = 3/2

day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

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