Question

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

Answer 1

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

Answer 2

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

Sin ∠A = 4/5

Further explanation

Firstly , let us learn about trigonometry in mathematics.

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

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

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

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

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

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

Learn more

• Calculate Angle in Triangle : https://brainly.com/question/12438587
• Periodic Functions and Trigonometry : https://brainly.com/question/9718382
• Trigonometry Formula : https://brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

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