Math, asked by meowteju8794, 2 months ago

find the approximate value of Son 179°.given 1°=0.0175°.

Answers

Answered by Afreenakbar

Answer:

The actual value of sin(179°) is an irrational number that cannot be expressed exactly as a decimal.

Step-by-step explanation:

To find the approximate value of sin(179°), we can use the fact that sin(x) = sin(180° - x) for any angle x. Therefore, sin(179°) = sin(180° - 1°).

Using the conversion factor given, we can write 1° as 0.0175 radians. Then, 180° is equal to pi radians. So, sin(179°) = sin(pi - 0.0175) radians.

Using the trigonometric identity sin(x) = cos(pi/2 - x), we can write sin(pi - 0.0175) = cos(0.0175).

We can approximate cos(0.0175) using a calculator or table of values to be approximately 0.99985. Therefore, sin(179°) is approximately equal to 0.99985.

It's important to note that this is an approximation, as the actual value of sin(179°) is an irrational number that cannot be expressed exactly as a decimal. However, this approximation should be accurate to several decimal places.