thearn said:Homework Statement
how would you write cosine(.9812) in two ways expressed with radians
(calculator based)
Homework Equations
cos-1(x)
The Attempt at a Solution
i just plugged cos-1(.9812) and got .1942 radians. If this is one of the answers how do i find the other.
Do you mean cos-1(.9812)? That's what your work below suggests.thearn said:Homework Statement
how would you write cosine(.9812) in two ways expressed with radians
(calculator based)
cos(.1942 radians) [itex]\approx[/itex] .9812, but there are many angles whose cosine is also .9812. The cosine function is periodic, with period 2π, so adding 2π or integer multiples of 2π gives you an angle with the same cosine value. The cosine function is also and even function, which means that cos(-x) = cos(x), for any real x.thearn said:Homework Equations
cos-1(x)
The Attempt at a Solution
i just plugged cos-1(.9812) and got .1942 radians. If this is one of the answers how do i find the other.
Cosine(.9812) is a mathematical function that calculates the ratio of the adjacent side of a right triangle to its hypotenuse. It is commonly used in trigonometry and geometry.
Converting cosine(.9812) to radians means expressing the value of cosine(.9812) in terms of radians rather than degrees. Radians are a unit of measurement for angles, often used in advanced mathematical calculations.
In advanced mathematical calculations, radians are often the preferred unit of measurement for angles because they simplify many mathematical equations. Converting cosine(.9812) to radians can make certain calculations easier and more accurate.
To convert cosine(.9812) to radians, you can use the formula: radians = degrees x pi/180. In this case, cosine(.9812) is already in degrees, so you would simply multiply it by pi/180 to get the value in radians.
The value of cosine(.9812) in radians is approximately 0.999999999796. This can be calculated by multiplying the value of cosine(.9812) by pi/180, as mentioned in the previous answer.