Ask a Doubt
Request a call back

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

ICSE Class 9 Answered

(tan 60 + 1 / tan 60 - 1 )^2 = 1 + cos 30 / 1 - cos 30
Asked by indirasolanki5661.9sdatl | 08 Mar, 2021, 07:37: PM
Expert Answer
Since, tan 30 equals square root of 3 space space and space space cos 30 equals fraction numerator square root of 3 over denominator 2 end fraction
open parentheses fraction numerator tan space 60 plus 1 over denominator tan space 60 minus 1 end fraction close parentheses squared equals open parentheses fraction numerator square root of 3 plus 1 over denominator square root of 3 minus 1 end fraction close parentheses squared equals open parentheses fraction numerator 3 plus 1 plus 2 square root of 3 over denominator 3 minus 1 end fraction close parentheses squared equals open parentheses 2 plus square root of 3 close parentheses squared equals 4 plus 3 plus 2 square root of 3 equals 7 plus 2 square root of 3
fraction numerator 1 plus cos space 30 over denominator 1 minus cos space 30 end fraction equals fraction numerator 1 plus begin display style fraction numerator square root of 3 over denominator 2 end fraction end style over denominator 1 minus begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction equals fraction numerator 2 plus square root of 3 over denominator 2 minus square root of 3 end fraction equals fraction numerator 4 plus 3 plus 2 square root of 3 over denominator 4 minus 3 end fraction equals 7 plus 2 square root of 3
Hence, open parentheses fraction numerator tan space 60 plus 1 over denominator tan space 60 minus 1 end fraction close parentheses squared equals fraction numerator 1 plus cos space 30 over denominator 1 minus cos space 30 end fraction
Answered by Renu Varma | 09 Mar, 2021, 08:03: PM

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
ICSE 9 - Maths
(tan 60 + 1 / tan 60 - 1 )^2 = 1 + cos 30 / 1 - cos 30
Asked by indirasolanki5661.9sdatl | 08 Mar, 2021, 07:37: PM
ANSWERED BY EXPERT
ICSE 9 - Maths
tan60/sin60+cos30
Asked by shubhaarya25 | 18 May, 2020, 11:06: AM
ANSWERED BY EXPERT
ICSE 9 - Maths
sin 47
Asked by sanjaychakma52 | 15 Feb, 2020, 08:21: AM
ANSWERED BY EXPERT
ICSE 9 - Maths
Tan2 30°+tan2 45°+tan2 60°
Asked by Likithavenk | 18 Jun, 2019, 09:36: PM
ANSWERED BY EXPERT
ICSE 9 - Maths
If 2sin (A+B)-1=0 and 2sin (A-B)-square root of blank end root3=0 Find A and B
Asked by abhiraj.abhinav39 | 31 May, 2019, 05:23: PM
ANSWERED BY EXPERT
ICSE 9 - Maths
HOW TO SOLVE THIS PROBLEM TAN (A+B-C) = 1 SIN (B + C - A ) = 1 COT ( C + A - B ) = 1 FIND A , B and C
Asked by pest34 | 26 Feb, 2018, 07:35: PM
ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt