Correct Answer - Option 1 : 13
Concept:
The maximum value of the trigonometric function a sinx + b cosx is given as:
\(Max \ value=\sqrt {{{\bf{a}}^2} + {{\bf{b}}^2}} \)
Calculation:
Given:
y = 12 cos x - 5 sin x
The maximum value of y can be calculated as;
\(y_{max}=\sqrt{(12)^2+(-5)^2}\)
ymax = 13
Hence, The distance of the highest point on the graph of the function y = 12 cos x - 5 sin x from the x-axis is 13 Units.
