Question

maximum value of 7sinx+ 24 cosx
plz do step by step

Answer 1

7sinx + 24cosx

It's maximum value will be when x = 0°

This can be explained as:-

7sinx+24cosx

7sin0° + 24cos0°

7×0 + 24×1

0+24

=>24

So, it's maximum value will be 24

We could have took x = 90°

but then, the value will be lessened as,

7sin90° + 24cos90°

7×1+24×0

7+0 = 7

The value of sin∅ and cos∅ varies between -1 and 1 only.

Cheers!