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The maximum value of the expression 5cosα + 12sinα – 8 is equal to ______. -

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Question

The maximum value of the expression 5cosα + 12sinα – 8 is equal to ______.

Options

  • 4.00

  • 5.00

  • 6.00

  • 7.00

MCQ
Fill in the Blanks

Solution

The maximum value of the expression 5cosα + 12sinα – 8 is equal to 5.00.

Explanation:

5cosα + 12sinα – 8

Use `acosθ + bsinθ∈[-sqrt(a^2 + b^2), sqrt(a^2 + b^2)]`

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