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Find the maximum value of 15sin θ + 20cos θ. 

  1. 25
  2. 35
  3. 30
  4. 5

Answer (Detailed Solution Below)

Option 1 : 25
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Detailed Solution

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Concept:

If the trigonometric ratio is in the form of 'asin θ + bcos θ'

Then the maximum value = 

And the minimum value = -

Calculation:

15sin θ + 20cos θ

Here a = 15  and b = 20

Then the maximum value = 

= 

= √(625)

= 25 

∴ The maximum value of 15sin θ + 20cos θ is 25.

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