The value of
(secpi/7)+(sec3pi/7)+(sec5pi/7) is
Please show me the solve one
To find the value of the expression (sec(pi/7)) + (sec(3pi/7)) + (sec(5pi/7), we can use the trigonometric identity:
sec(x) = 1/cos(x)
Let's break down the expression step by step:
1. Let's start with the term sec(pi/7). According to the identity, sec(pi/7) = 1/cos(pi/7).
2. Next, let's move on to the term sec(3pi/7). Using the same identity, sec(3pi/7) = 1/cos(3pi/7).
3. Lastly, for the term sec(5pi/7), we have sec(5pi/7) = 1/cos(5pi/7).
Now, to add these terms together, we need to find a common denominator. In this case, since the expressions have different angles, we don't have any immediate simplification.
The final expression is:
(1/cos(pi/7)) + (1/cos(3pi/7)) + (1/cos(5pi/7))
To find the value numerically, you can use a calculator or software program that can handle trigonometric functions.