Q:
5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?
Answer & Explanation
Answer: C) 13
Explanation: Given,
5sinx + 12cosx ≥ -r
cosx) ≥ -r
= cosA => sinA =
=> 13(sinx cosA + sinA cosx) ≥ -r
=> 13(sin(x + A)) ≥ -r
we know that , -1 ≤ sin (angle) ≤ 1
=> 13sin (x + A) ≥ -13
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