sin(a+b)=root 3/2 , cos(a-b) = 1/ root 2 and A and B are both acute angles , then the values of A and B are
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Step-by-step explanation:
sin(a+b)=√3/2
sin (a+b)=sin 60
(a+b)=60...... (sin on both sides are cancelled)
cos(a-b)=1/√2
cos(a-b)=cos 45
(a-b)=45.......
sloving equation 1&2
a + b = 60
a - b = 45
eleminate b ...and we get
2a=105
a=105/2
therefore value of b=8/7
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