Math, asked by taj147, 1 year ago

if sin (A+B) =1 cos (A-B) =1

Answers

Answered by abhishekojha
1
sin(A+B)=sin90 then A+B=90
cos(A-B)=cos0 then A-B=0
angle A=45 and B=45
Answered by aman190k
0
&lt;b&gt;●•••••••☆Hello User☆•••••••●<br />《《Here is your answer》》<br />&lt;hr size = 3 width = 300 color = #000000 &gt;&lt;font color = #000000&gt;&lt;br&gt;<br />‍‌‌‌ If&lt;br&gt; sin (A+B) =1&lt;br&gt;sinAcosB+cosAsinB = 1 .......(1)&lt;br&gt; &lt;br&gt;cos (A-B) =1&lt;br&gt;cosAcosB+sinAsinB = 1 ........(2)&lt;br&gt;&lt;br&gt;<br />Subtracting (1) &amp; (2) we get;&lt;br&gt;<br />(sinAcosB+cosAsinB) - (cosAcosB+sinAsinB) = 0 &lt;br&gt;<br />sinA (cosB - sinB ) - cosA ( cosB - sinB ) = 0 &lt;br&gt;<br />( sinA - cosA )( cosB - sinB ) = 0&lt;br&gt;<br />( sinA - cosA ) = 0 &amp; ( cosB - sinB ) = 0&lt;br&gt;<br />sinA = cosA  &amp; cosB = sinB&lt;br&gt;<br />A = B = 45°<br /><br />&lt;/font&gt;<br />&lt;hr size = 3 width = 300 color = #000000 &gt;<br />●•••••••☆Brainly Star☆•••••••●&lt;/b&gt;&lt;br&gt;<br /><br />&lt;b&gt;॥ॐ 卐 ☪ ✝ ॥&lt;/b&gt;
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