Inverse Tan 1 and tan^{1}(1)
Examples , Pictures and Significance
The inverse tan of 1 , ie tan ^{1} (1) is a very special value for the inverse tangent function. Remember that tan ^{1}(x) will give you the angle whose tan is x . Therefore, tan ^{1} (1) = the angle whose tangent is 1. It's also helpful to think of tangent
The Value of the Inverse Tan of 1
As you can see below, the inverse tan^{1} (1)is 45° or, in radian measure, Π/4 . It is helpful to think of tangent as the ratio of sine over cosine, ie : . Therefore, tan(Θ) to equal 1, sin(Θ) and cos(Θ) must have the same value.
SoWhen do sine and cosine have the exact same value?
The answer is at
and,, of course, sine these trig functions are cyclical you can generalize
