First slide

Trignometry

Question

The greatest value of 5 cos $θ$ -12 sin $θ$ is :

Moderate

A

17
B

13
C

12
D

5

Solution

${(5 cosθ - 12 sinθ)}_{\max} = \sqrt{5^{2} + {(- 12)}^{2}} = 13$

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