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If sin(A-B)=1/2,cos(A+B),0 degree B, find A …

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If sin(A-B)=1/2,cos(A+B),0 degree <A+B<_ 90 degree, A>B, find A and B.

Posted by Adarsh Singh 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

According to the question, {tex}\sin (A - B) = \frac{1}{2}{/tex}, therefore, {tex}A - B ={/tex} 30^o ........ (1)
{tex}\cos (A + B) = \frac{1}{2}{/tex}, therefore, A + B = 60^o ........ (2)
Solving (1) and (2), we get
A = 45^o and B = 15^o

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