F(x) = sin x + cos x

AIEEE 2015 Preparation › Trignometry questions › F(x) = sin x + cos x

F(x) = sin x + cos x, the maximum value of F(x) is
(a) 1

(b)âˆš 2

(c) âˆš3

(d) 2

#Mathematics #Trignometry

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8 Answers

13

Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-04-05 03:25:56

F(x) =âˆš2 [(1/âˆš2)sin x + (1/âˆš2)cos x]=âˆš2cos(45Â°-x)

max value of cos(45Â°-x) is +1

hence F(X)_max=âˆš2

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24

eureka123 ·2009-04-05 03:27:05

multiply and divide by √2
=> f(x)= √2sin(x+Ï€/4
=> max value =√2

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11

Mani Pal Singh ·2009-04-05 03:27:09

THE ANSWER TTO THIS QUESTION IS √2
ITS SIMPLE
PUT X=PI/4 OR

THE STANDARD MAXIMUM VALUE OF

-√a²+b²â‰¤asin x +bcos x â‰¤√a²+b²

remember this [1]

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1

Aditya ·2009-04-05 03:28:29

Max value of expression of form a sin x+b cos x is√a²+b²

So, max value is √2

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1

Aditya ·2009-04-05 03:29:15

Oh!...again i m late[2]

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1

abhi77 ·2009-04-05 04:08:42

you can use calculus too

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11

Mani Pal Singh ·2009-04-05 04:09:53

yes u r rite dude but she is in 10 [1]

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1

Shivani -waiting for results ·2009-04-05 04:46:17

thnx every1

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