Saturday, April 12, 2014

Given that sin x = 1/2 calculate cos x .

To calculate the value of the function cosine, we'll apply
the fundamental formula of trigonometry:


(sin x)^2 + (cos
x)^2 = 1


cos x = sqrt [1-(sin
x)^2]


cos x = sqrt (1 - 1/4), but sin x =
1/2


cos x = sqrt[(4-1)/4]


cos
x = (sqrt3)/2 , if x is in the first quadrant, namely x belongs to the interval (0,
pi/2).


cos x = -(sqrt3)/2, if x is in the second quadrant,
namely x belongs to the interval (pi/2, pi).

No comments:

Post a Comment

Comment on the setting and character of "The Fall of the House of Usher."How does setting act as a character?

Excellent observation, as it identifies how the settings of Poe's stories reflect the characters of their protagonists. Whet...