Consider the following for the two (02) items that follow: Let p = | - ( - 90°)| . What is the minimum value of p ?

Step-by-step solution

p = | - ( - 90^ )| Using the trigonometric identity ( - 90^ ) = - (90^ - ) = - , we get: p = | - (- )| = | + | Multiplying and dividing the expression inside the modulus by 2 : p = 2 | 1 2 + 1 2 | p = 2 | ( + 45^ )| Since the absolute value of any real expression is non-negative, the minimum possible value of p is 0 . This minimum is achieved when ( + 45^ ) = 0 , which occurs at = -45^ . Therefore, the minimum value of p is 0 .