Ask a Doubt
Request a call back

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

CBSE Class 11-science Answered

If 0 < theta < pi/2 and if (y+1)/(1-y) = square root of blank end root1 +sintheta/1-sintheta then y =
 
a) cot theta/2 
b) tantheta/2
c) cot theta/2 + tan theta/2
d) cottheta/2 - tan theta/2
Asked by ahuja8087 | 13 Sep, 2015, 11:13: PM
answered-by-expert Expert Answer
G i v e n space t h a t fraction numerator 1 plus y over denominator 1 minus y end fraction equals square root of fraction numerator 1 plus sin theta over denominator 1 minus sin theta end fraction end root R a t i o n a l i sin g space t h e space d e n o m i n a t o r space o n space t h e space l e f t space h a n d space s i d e comma space w e space h a v e comma fraction numerator 1 plus y over denominator 1 minus y end fraction equals square root of fraction numerator 1 plus s i n theta over denominator 1 minus s i n theta end fraction cross times fraction numerator 1 plus s i n theta over denominator 1 plus s i n theta end fraction end root rightwards double arrow fraction numerator 1 plus y over denominator 1 minus y end fraction equals square root of fraction numerator open parentheses 1 plus sin theta close parentheses squared over denominator 1 minus s i n squared theta end fraction end root rightwards double arrow fraction numerator 1 plus y over denominator 1 minus y end fraction equals square root of fraction numerator open parentheses 1 plus s i n theta close parentheses squared over denominator cos squared theta end fraction end root rightwards double arrow fraction numerator 1 plus y over denominator 1 minus y end fraction equals fraction numerator open parentheses 1 plus s i n theta close parentheses over denominator c o s theta end fraction A p p l y i n g space c o m p o n e n d o space a n d space d i v i d e n d o space o n space b o t h space t h e space s i d e s comma space w e space h a v e comma fraction numerator 1 plus y plus 1 minus y over denominator 1 plus y minus 1 plus y end fraction equals fraction numerator 1 plus s i n theta plus c o s theta over denominator 1 plus s i n theta minus c o s theta end fraction rightwards double arrow fraction numerator 2 over denominator 2 y end fraction equals fraction numerator 1 plus s i n theta plus c o s theta over denominator 1 plus s i n theta minus c o s theta end fraction rightwards double arrow y equals fraction numerator 1 plus s i n theta minus c o s theta over denominator 1 plus s i n theta plus c o s theta end fraction rightwards double arrow y equals fraction numerator 2 s i n begin display style theta over 2 end style cos theta over 2 plus 2 s i n squared theta over 2 over denominator 2 s i n theta over 2 c o s theta over 2 plus 2 cos squared theta over 2 end fraction rightwards double arrow y equals fraction numerator 2 s i n begin display style theta over 2 end style open square brackets cos theta over 2 plus sin theta over 2 close square brackets over denominator 2 c o s theta over 2 open square brackets c o s theta over 2 plus s i n theta over 2 close square brackets end fraction rightwards double arrow y equals tan theta over 2 H e n c e space t h e space c o r r e c t space o p t i o n space i s space left parenthesis b right parenthesis.
Answered by Vimala Ramamurthy | 14 Sep, 2015, 12:10: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
if cot 4θ+cot2θ=1 prove that sin4θ+ sin2θ =1
Asked by bimanmandal53361 | 15 Jan, 2024, 12:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
clear this doubt
question image
Asked by mishraparveen1234 | 15 Jun, 2022, 04:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
If A+B+C=pi , then equality of equation (1/2)(cosA cosB + cosB cosC + cosC cosA) must hold: a) <= 3/2.   b) >=(-3)   c) <=3/8   d) >=(-1)  
Asked by shanujam03 | 03 Oct, 2020, 08:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Q10
question image
Asked by omved0304 | 07 Aug, 2020, 11:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Solve question no-4
question image
Asked by richasingh0708.bmps | 23 Jun, 2020, 10:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
If the value of cosec x repeats after an interval of 2straight pi,then what is the value of cosec(7straight pi/6)?
Asked by dppanigrahiadv | 26 May, 2020, 07:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the value of -cos(30)
Asked by lykanbeast04 | 21 May, 2020, 06:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Pls solve.
question image
Asked by pb_ckt | 12 Jun, 2019, 02:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Pls solve
question image
Asked by pb_ckt | 11 Jun, 2019, 03:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
What is trigonometry  
Asked by Singhnitish1475 | 11 May, 2019, 01:46: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×