CBSE Class 11-science Answered
the range of values of 5cosA - 12sinA
Asked by rekkakr1095 | 09 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 | 11 Nov, 2010, 10:18: AM
Concept Videos
CBSE 11-science - Maths
Asked by rajyothi64 | 05 Mar, 2024, 09:49: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by ghoshshawata62 | 04 Mar, 2024, 08:16: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by nayaktapaswini2007 | 29 Feb, 2024, 09:10: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by bimanmandal53361 | 15 Jan, 2024, 12:32: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sreyas.katuri | 23 Sep, 2023, 07:12: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by 069.pks | 16 Sep, 2023, 10:06: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by surekhashriwas01 | 12 Sep, 2023, 08:39: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by mvr23467 | 12 Sep, 2023, 07:52: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by SasipriyaNagappan | 27 Jul, 2023, 07:22: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by SasipriyaNagappan | 26 Jul, 2023, 06:55: PM
ANSWERED BY EXPERT