CBSE Class 10 Answered
abcd is a quadilateral prove that cos a+b / 4 = sin c+d /4
Asked by harishankarpandabrl | 09 Jul, 2020, 15:37: PM
Given: abcd is quadrilateral
We need to prove:- cos[(a+b)/4] = sin[(c+d)/4]
![A s space a b c d space i s space a space q u a d r i l a t e r a l comma space w e space h a v e
angle a plus angle b plus angle c plus angle d equals 360 degree
rightwards double arrow angle a plus angle b equals 360 degree minus angle c minus angle d
rightwards double arrow fraction numerator angle a plus angle b over denominator 4 end fraction equals 90 degree minus fraction numerator angle c plus angle d over denominator 4 end fraction
rightwards double arrow cos open parentheses fraction numerator angle a plus angle b over denominator 4 end fraction close parentheses equals cos open parentheses 90 degree minus fraction numerator angle c plus angle d over denominator 4 end fraction close parentheses
rightwards double arrow cos open parentheses fraction numerator angle a plus angle b over denominator 4 end fraction close parentheses equals sin open parentheses fraction numerator angle c plus angle d over denominator 4 end fraction close parentheses space... space S i n c e space cos left parenthesis 90 degree minus x right parenthesis equals sin x](https://images.topperlearning.com/topper/tinymce/cache/0e849d68596e3f8929344cfe9b4a0657.png)
Answered by Renu Varma | 10 Jul, 2020, 09:11: AM
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