Request a call back

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

CBSE Class 10 Answered

In triangle ABC show that (sin)^2 A/2 = (sin)^ 2 B+C/2 = 1
Asked by Navya Benny | 20 Sep, 2013, 09:35: PM
Expert Answer

In a triangle sum of all angles is 180 degrees.

A + B + C = 180o

B + C = 180 - A

B + C/2 = 90 - A/2

sin2 (B + C/2) = sin2 (90 - A/2)

sin2 (B + C/2) = cos2 A/2

 

Hence, 

LHS = sin2 A/2 + sin2 (B + C/2) = sin2 A/2 + cos2 A/2 = 1

Answered by | 22 Sep, 2013, 02:31: PM
CBSE 10 - Maths
Asked by mohantybasanti04 | 22 Jan, 2023, 07:08: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by harshitgamer6386 | 14 Jan, 2023, 08:22: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by riddhu542007 | 07 Jan, 2023, 09:31: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by skailas803 | 05 Jan, 2023, 11:37: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by barbysingh2006 | 30 Dec, 2022, 08:41: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rc1827805 | 23 Dec, 2022, 08:11: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by deepakverma786024 | 18 Dec, 2022, 05:43: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by devanshsinghbais111 | 11 Oct, 2022, 01:57: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Bavashreelogasundaram | 22 Sep, 2022, 08:26: PM
ANSWERED BY EXPERT
Get FREE Sample Mock Papers for Final Exams
Download Now
×