Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Find the sum of the max. and min values of 1/1+(2cosx-4sinx)^2 
Asked by puneetgarg2555 | 01 May, 2019, 10:32: AM
answered-by-expert Expert Answer
L e t space f left parenthesis x right parenthesis equals fraction numerator 1 over denominator 1 plus left parenthesis 2 cos x minus 4 sin x right parenthesis squared end fraction
S i n c e comma space minus 1 less or equal than cos x less or equal than 1 space a n d space minus 1 less or equal than sin x less or equal than 1
rightwards double arrow negative 2 less or equal than 2 cos x less or equal than 2 space a n d space minus 4 less or equal than 4 sin x less or equal than 4
rightwards double arrow negative 2 less or equal than 2 cos x less or equal than 2 space a n d space minus 4 less or equal than negative 4 sin x less or equal than 4
rightwards double arrow negative 6 less or equal than 2 cos x minus 4 sin x less or equal than 6
rightwards double arrow left parenthesis 2 cos x minus 4 sin x right parenthesis squared less or equal than 36
A l s o comma space left parenthesis 2 cos x minus 4 sin x right parenthesis squared greater or equal than 0
rightwards double arrow 1 plus left parenthesis 2 cos x minus 4 sin x right parenthesis squared greater or equal than 1
rightwards double arrow fraction numerator 1 over denominator 1 plus left parenthesis 2 cos x minus 4 sin x right parenthesis squared end fraction less or equal than 1 space a n d space fraction numerator 1 over denominator 1 plus left parenthesis 2 cos x minus 4 sin x right parenthesis squared end fraction greater or equal than 1 over 37
T h e space m i n space v a l u e space i s space 1 over 37 space a n d space m a x i m u m space v a l u e space i s space 1
S u m space o f space m i n space a n d space m a x space v a l u e s space i s space 1 over 37 plus 1 equals 38 over 37
Answered by Renu Varma | 01 May, 2019, 04:10: PM
CBSE 12-science - Maths
Asked by shirishakuruva477 | 28 Mar, 2024, 09:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sheensvlog | 27 Mar, 2024, 10:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by jprathamesh023 | 23 Mar, 2024, 04:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by antra1799 | 18 Mar, 2024, 07:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by nainaadityathakur | 12 Mar, 2024, 01:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by suman0987tewary | 27 Feb, 2024, 03:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by hemanthpakkela | 24 Feb, 2024, 04:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
t
question image
Asked by rahulkumarphysics1 | 20 Feb, 2024, 09:22: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sneha47619 | 05 Feb, 2024, 05:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×