the range of values of 5cosA - 12sinA

Asked by rekkakr1095 | 9th Nov, 2010, 09:23: PM

Expert Answer:

Dear student,
 

f(x) = 5 cosA – 12 sinA

The given function comprises of sine and cosine functions. Here, we reduce given function in terms of one trigonometric function and then find range of the function.

Let x cos B = 12 and x sin B = 5

 So, x2 = 144 + 25 = 169

x = 13

Therefore, f(x) = 13 (sin B cosA – cosB sinA) = 13 sin (B – A)

 

We know that range of sine function is [-1, 1].

Hence, the range of given function is [-13, 13].

We hope that clarifies your query.

Regards,

Team

TopperLearning

Answered by  | 11th Nov, 2010, 10:18: AM

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