Request a call back

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

CBSE Class 10 Answered

prove that- i)cos?cosec?-sin?sec?/cos?+sin?=cosec?-sec? ii)cot^2?(sec?-1)/(1+sin?)=sec^2?(1-sin?)/(1+sec?) iii)(1-cos?)^1/2/(1+cos?)^1/2=sin?/1+cos? iv)(1+sin?)^1/2/(1-sin?)^1/2=cos?/1-sin?
Asked by Aditya Chakravarty | 15 Sep, 2013, 04:26: PM
answered-by-expert Expert Answer
Please ask one question at a time. The solution to your first question is as follows:

L.H.S.

= cos A . cosec A - sin A . sec A / cos A + sin A

= [(1 / sec A) . cosec A - (1 / cosec A) . sec A ] / [(1 / sec A) + (1 / cosec A) ]

= [cosec A / sec A - sec A / cosec A ] / [ cosec A + sec A / sec A . cosec A ]

= [cosec2 A - sec2 A / sec A . cosec A ] / [ cosec A + sec A / sec A . cosec A ]

= (cosec2 A - sec2 A) (sec A . cosec A) / sec A . cosec A (sec A + cosec A)

= (cosec A - sec A) (cosec A + sec A) / (sec A + cosec A)

= cosec A - sec A

= R.H.S.

Answered by | 15 Sep, 2013, 10:13: PM

Application Videos

CBSE 10 - Maths
Asked by vn3950372 | 18 Mar, 2024, 08:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vk952384 | 09 Mar, 2024, 11:34: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by gauravgupta.20008 | 03 Feb, 2024, 05:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pankajmali55 | 25 Jan, 2024, 07:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by tanujmaan58 | 18 Jan, 2024, 08:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by balu162 | 16 Jan, 2024, 07:10: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by balu162 | 15 Jan, 2024, 08:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by priyanshdhiman2008 | 25 Dec, 2023, 03:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×