NDA2025MathematicsTrigonometric Ratios & IdentitiesActual
Consider the following for the two (02) items that follow: Let p = | - ( - 90°)| . What is the maximum value of p ?
Options
- A1
- B2
- C3
- D2
Correct answer
B. 2
Step-by-step solution
Given p = | - ( - 90^ )| Using the trigonometric identity ( - 90^ ) = - (90^ - ) = - Substituting this into the expression for p p = | - (- )| = | + | The maximum value of the expression a + b is a^2 + b^2 Here, a = 1 and b = 1 Maximum value of + = 1^2 + 1^2 = 2 Therefore, the maximum value of p is 2 Answer: 2