what is sin 7pi/3 in terms of cosine
We can use the identity sin(x) = cos(π/2 - x) to write sin(7π/3) in terms of cosine.
Since 7π/3 is greater than 2π, we first need to find the equivalent angle within the range of 0 to 2π.
7π/3 = (6π/3) + (π/3) = 2π + π/3
Now, we can rewrite sin(7π/3) as sin(2π + π/3).
Using the identity sin(x) = sin(x + 2π), we can simplify sin(2π + π/3) further to sin(π/3).
Now, we can use the identity sin(x) = cos(π/2 - x), so sin(π/3) is equal to cos(π/2 - π/3).
π/2 - π/3 = π/6
Therefore, sin(7π/3) in terms of cosine is cos(π/6).