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vitfil [10]
3 years ago
10

Evaluate the function requested. Write your answer as a fraction in lowest terms. FInd Sin A

Mathematics
2 answers:
castortr0y [4]3 years ago
6 0
Answer: 4 / 5

Reasoning:

1)  The function sine is defined as:

sin(x) = opposite-leg / hypotenuse

2) From the figure:

x = A
opposite-leg = 20
hypotenuse = 25

3) Calculations:

sin(A) = 20 / 25 = 4 / 5

Answer: 4 / 5

likoan [24]3 years ago
6 0

The evaluation of the function requested as a fraction in lowest terms is :

<h2>Sin ∠A = 4/5</h2>

<h3>Further explanation</h3>

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

<h3>sin ∠A = opposite / hypotenuse</h3><h3>cos ∠A = adjacent / hypotenuse</h3><h3>tan ∠A = opposite / adjacent </h3>

There are several trigonometric identities that need to be recalled, i.e.

cosec ~ A = \frac{1}{sin ~ A}

sec ~ A = \frac{1}{cos ~ A}

cot ~ A = \frac{1}{tan ~ A}

tan ~ A = \frac{sin ~ A}{cos ~ A}

Let us now tackle the problem!

Look at ΔABC in the attachment.

We will use the following formula to find the sine value as a fraction in lowest terms.

sin ∠A = opposite / hypotenuse

\sin \angle A = \frac{BC}{AB}

\sin \angle A = \frac{20}{25}

\large { \boxed{ \sin \angle A = \frac{4}{5} } }

<h3>Learn more</h3>
  • Calculate Angle in Triangle : brainly.com/question/12438587
  • Periodic Functions and Trigonometry : brainly.com/question/9718382
  • Trigonometry Formula : brainly.com/question/12668178

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

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