If, what is the value of Sin theta?
Answers
AnswerHow do I find the value of sin theta?
Given the value of theta, and noting the units in use (generally degrees or radians), you can key in the value of theta in your calculator, make sure it’s on the correct trigonometric mode (degrees or radians), and press the sin key.
If you’re interested in doing this without a calculator, there are numerous approaches you can use.
There exists an infinite expansion of the sin function, given θθ in radians. If you have θθ in degrees, rather than radians, you can convert by multiplying by π/180π/180.
sinx=∑∞n=0(−1)n(2n+1)!x2n+1=x−x33!+x55!−⋯sinx=∑n=0∞(−1)n(2n+1)!x2n+1=x−x33!+x55!−⋯
You can get “close enough” to the result of the sin function by carrying out enough iterations of this sum that your significant digits cease to be volatile due to further iterations (ie, a whole lot of iterations)