Math, asked by lucky2969, 1 year ago

if A+B=90degrees show that sinA=cosB

Answers

Answered by TheLifeRacer
6
Hi !

A + B = 90° (given )

A = 90° - B

taking sin both side

we get ,

sinA = sin ( 90° -B)

sinA = cosB , [°•° sin(90° - ¢ ) = cos¢]

since prooved ♻ sinA = cosB

________________________

Hope this helps you !!

@Rajukumar111
Answered by pulkitsharma20pbt351
1
&lt;b&gt;&lt;u&gt;&lt;h&gt;&lt;I&gt;Hey Dear, here is ur answer...........&lt;/h&gt;<br />&lt;font color=indigo&gt;&lt;h&gt;Given that ,A+B=90°&lt;/h&gt;<br />So,&lt;/h&gt;<br />•A=90°-B&lt;/h&gt;<br />joining sin both sides,&lt;/h&gt;<br />•sinA=sin(90°-B)&lt;/h&gt;<br />•sinA=cosB {since,cos theta(90= sin°-theta)&lt;/h&gt;<br />" HENCE PROVED "&lt;/h&gt;<br />☝(´⊙ε⊙`)☝&lt;/h&gt;<br /><br />&lt;marquee&gt;hope this helps and thank you<br />☺☺☺<br />&lt;/marquee&gt;&lt;/font&gt;&lt;/b&gt;&lt;/u&gt;
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