Find the approximate value of sin 179° Given 1°=0.0175°
Answers
Answer:
The answer to this question is 0.0175.
Step-by-step explanation:
Let's first take a brief on the properties of the sin function.
Two angles are supplementary if their sum is equal to 90 degrees. Similarly, when we can learn here the trigonometric identities for supplementary angles.
sin (180°- θ) = sinθ
cos (180°- θ) = -cos θ
cosec (180°- θ) = cosec θ
sec (180°- θ)= -sec θ
tan (180°- θ) = -tan θ
cot (180°- θ) = -cot θ.
We must remember these identities thoroughly.
From identity 1 we can say
and we have been given the value of
sin (1) in the questions as 0.0175.
Keep this mind that in question he could have been using some other trigonometric functions, so you should be able to solve that as I have mentioned all required identities above.
#SPJ2
For more similar questions: https://brainly.in/question/39068917
Given that 1° = 0.0175 radians, the approximate value of sin(179°) can be found by converting the angle to radians and using a Taylor series expansion for the sine function. The approximate value of sin(179°) is -0.015.
The value of sine for an angle can be found using a trigonometric table. However, to approximate the value of sin 179° given that 1° = 0.0175 radians, we can use a Taylor series expansion for the sine function.
A Taylor series expansion for the sine function is:
sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...
We can use this series to approximate the value of sine for small angles. To convert an angle from degrees to radians, we multiply the angle in degrees by π/180.
So, to find the value of sin 179°, we convert this angle to radians:
179° * π/180 = 3.124 radians
Next, we can use the Taylor series to approximate the value of sine for this angle:
sin(3.124) = 3.124 - (3.124^3)/3! + (3.124^5)/5! - (3.124^7)/7! + ...
The approximation for sin(179°) is approximately -0.015.
For more such questions on approximate value: https://brainly.in/question/14626442
#SPJ3