CBSE Class 10 Answered
if sinθ +cosθ =1,prove that cosθ -sinθ =±1
Asked by Gounshi | 23 Nov, 2018, 04:43: PM
Expert Answer
sin θ + cos θ = 1
(sin θ + cos θ)2 = sin2 θ + cos2 θ - 2sin θ cos θ = 1.................(1)
since sin2 θ + cos2 θ =1, from eqn.(1), we have sin θ cos θ = 0 ................(2)
( cos θ - sin θ )2 = cos2θ + sin2θ - 2 cosθ sinθ = 1 - 0 = 1
cos θ - sin θ = ±1
Answered by Thiyagarajan K | 23 Nov, 2018, 09:31: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by aditikaldate7 | 21 Apr, 2024, 03:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathaksuman622 | 21 Apr, 2024, 11:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mraniruddha03 | 02 Apr, 2024, 06:44: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mustafahssn786 | 23 Mar, 2024, 06:25: AM
ANSWERED BY EXPERT