Ask a Doubt
Request a call back

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

JEE Class main Answered

.
question image
Asked by swayamagarwal2114 | 18 Jul, 2022, 15:06: PM
answered-by-expert Expert Answer
Given colon space straight f left parenthesis straight x right parenthesis equals straight a subscript 1 space cos left parenthesis straight alpha subscript 1 plus straight x right parenthesis plus straight a subscript 2 space cos left parenthesis straight alpha subscript 2 plus straight x right parenthesis plus straight a subscript 3 space cos left parenthesis straight alpha subscript 3 plus straight x right parenthesis space plus space... space plus space straight a subscript straight n space cos left parenthesis straight alpha subscript straight n plus straight x right parenthesis straight f left parenthesis straight x right parenthesis space vanishes space for space straight x equals 0 space and space straight x equals straight x subscript 1 space where space straight x subscript 1 not equal to kπ Now comma space straight f left parenthesis 0 right parenthesis equals straight a subscript 1 space cos space straight alpha subscript 1 space plus thin space straight a subscript 2 space cos space straight alpha subscript 2 space plus thin space straight a subscript 3 space cos space straight alpha subscript 3 space plus space... space plus straight a subscript straight n space cos space straight alpha subscript straight n rightwards double arrow straight a subscript 1 space cos space straight alpha subscript 1 space plus thin space straight a subscript 2 space cos space straight alpha subscript 2 space plus thin space straight a subscript 3 space cos space straight alpha subscript 3 space plus space... space plus straight a subscript straight n space cos space straight alpha subscript straight n space equals space 0 space space... space left parenthesis 1 right parenthesis Also comma space straight f left parenthesis straight x subscript 1 right parenthesis space equals space straight a subscript 1 space cos left parenthesis straight alpha subscript 1 plus straight x subscript 1 right parenthesis plus straight a subscript 2 space cos left parenthesis straight alpha subscript 2 plus straight x subscript 1 right parenthesis plus straight a subscript 3 space cos left parenthesis straight alpha subscript 3 plus straight x subscript 1 right parenthesis space plus space... space plus space straight a subscript straight n space cos left parenthesis straight alpha subscript straight n plus straight x subscript 1 right parenthesis space space space space space space space space equals straight a subscript 1 space left parenthesis cosα subscript 1 space cosx subscript 1 space minus space sinα subscript 1 space sinx subscript 1 right parenthesis plus straight a subscript 2 space left parenthesis cosα subscript 2 space cosx subscript 1 space minus space sinα subscript 2 space sinx subscript 1 right parenthesis plus space... space plus space straight a subscript straight n space left parenthesis cosα subscript straight n space cosx subscript 1 space minus space sinα subscript straight n space sinx subscript 1 right parenthesis space space space space space space space space equals straight a subscript 1 space cosα subscript 1 space cosx subscript 1 space plus thin space straight a subscript 2 space cosα subscript 2 space cosx subscript 1 space plus thin space straight a subscript 3 space cosα subscript 3 space cosx subscript 1 space plus space... space plus straight a subscript straight n space cosα subscript straight n space cosx subscript 1 space minus space left parenthesis straight a subscript 1 space sinα subscript 1 space sinx subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space sinx subscript 1 plus... plus space straight a subscript straight n space sinα subscript straight n space sinx subscript 1 right parenthesis space space space space space space space space equals cosx subscript 1 left parenthesis straight a subscript 1 space cos space straight alpha subscript 1 space plus thin space straight a subscript 2 space cos space straight alpha subscript 2 space plus thin space straight a subscript 3 space cos space straight alpha subscript 3 space plus space... space plus straight a subscript straight n space cos space straight alpha subscript straight n right parenthesis space minus space sinx subscript 1 space left parenthesis straight a subscript 1 space sinα subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space plus... plus space straight a subscript straight n space sinα subscript straight n space right parenthesis space space space space space space space space equals space cosx subscript 1 space left parenthesis 0 right parenthesis space minus space sinx subscript 1 space left parenthesis straight a subscript 1 space sinα subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space plus... plus space straight a subscript straight n space sinα subscript straight n space right parenthesis space space space space space space space space space space space space space space space space space space space... space From space left parenthesis 1 right parenthesis space space space space space space space space equals negative sinx subscript 1 space left parenthesis straight a subscript 1 space sinα subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space plus... plus space straight a subscript straight n space sinα subscript straight n space right parenthesis rightwards double arrow negative sinx subscript 1 space left parenthesis straight a subscript 1 space sinα subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space plus... plus space straight a subscript straight n space sinα subscript straight n space right parenthesis equals 0 Since comma space straight x subscript 1 not equal to kπ space rightwards double arrow sinx subscript 1 not equal to 0 Thus comma space straight a subscript 1 space sinα subscript 1 space plus space straight a subscript 2 space sinα subscript 2 space plus... plus space straight a subscript straight n space sinα subscript straight n space equals space 0
Answered by Renu Varma | 19 Jul, 2022, 12:35: PM
Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
tanA+2tan2A+4tan4A-8cot8A
Asked by s26vedanga | 03 Aug, 2024, 22:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
The value of sin 20°+sin 40°-sin80°
Asked by jhansitimmidi | 28 Jul, 2024, 19:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
tantheta+2tan2theta+4tan4theta+8cot8theta=cottheta
Asked by yadavankith998 | 25 Jul, 2024, 22:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
cosA+sinB=m , sinA+cosB=n then m2+n2-2=
Asked by swapnanemuturi | 24 Jul, 2024, 20:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
cot A . cos A / cot A +cos A = cot A-cos A/ cot A. cos A prove it
Asked by kumaraaditya2008 | 24 Jun, 2024, 17:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
please send me the solution
question image
Asked by sagnikguha2008 | 20 Jun, 2024, 10:28: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Q15
question image
Asked by sakchamgupta12345 | 15 Jun, 2024, 18:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
the difference between (sin?75°-cos?75°)
Asked by abhayakumarsahoo3654 | 15 Jun, 2024, 18:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solve both dout
question image
Asked by gargkumar.9999 | 02 Jun, 2024, 12:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
doubt
question image
Asked by ishansheoran7 | 10 May, 2024, 16:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt