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The maximum value of sin(x + p / 6) + cos(x + p / 6) in the interval (0, p / 2) is attained at x =p / 2\np / 3\np / 6\np / 12

Nivedita , 10 Years ago
Grade 12
anser 1 Answers
bharat bajaj

Last Activity: 10 Years ago

sin(x + p / 6) + cos(x + p / 6) =Tignometry-Sum and Difference formulae
=Trigmometric ratios
=Trigonometric ratio


This is maximumwhen sin(x + 5p / 12) ismaximum.
That is when sin(x + 5p / 12) = 1
x + 5p / 12 = p / 2
x = p / 12
Thanks
Bharat Bajaj
IIT Delhi
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