Explanation:
To factorize the expression C.4Csc²ß - 9Sec, we can start by expressing both terms in terms of sine and cosine functions:
C.4Csc²ß = C.4(1/Sin²ß) = 4C/Sin²ß
9Sec = 9(1/Cos) = 9/Cos
Now, the expression becomes:
4C/Sin²ß - 9/Cos
To factorize further, we can find a common denominator, which is Sin²ß * Cos:
(4C * Cos - 9 * Sin²ß) / (Sin²ß * Cos)
So, the factored form of the expression is:
(4C * Cos - 9 * Sin²ß) / (Sin²ß * Cos)