Results for "find the exact value csc(60)"

To find the exact value of csc(60), we first need to understand that csc is the reciprocal of sin. The sine of 60 degrees is a well-known value in trigonometry, specifically, sin(60) = √3/2. Therefore, the cosecant can be calculated as follows:

csc(60) = 1/sin(60)
Substituting the value of sin(60) gives us:

csc(60) = 1/(√3/2)
This simplifies to:

csc(60) = 2/√3
To rationalize the denominator, we multiply the numerator and denominator by √3:

csc(60) = (2√3)/3
This value, (2√3)/3, is the exact value of csc(60). Remember that knowing these fundamental trigonometric values can be extremely helpful in various mathematical applications, including geometry and calculus.