0. If sin( A+ B ) = √3/2 and cos ( A – B ) = √3/2, then find the value of (3)
angle A and B.
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Answer:
one of two or more forms of a chemical element that have different physical characteristics but the same chemical characteristics
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Step-by-step explanation:
Given sin(A+B)=√3/2
⇒sin(A+B)=sin60°
(∵sin60° =√3/2)
⇒A+B=60° …………(1)
Again, cos(A−B)= √3/2
⇒cos(A−B)=cos30°
(∵cos30°= √3/2)
⇒A−B=30°…………(2)
Adding (1)+(2)
A+B+A−B=60°+30°
⇒2A=90°
⇒A=90/2
⇒A=45°
Putting A=45°
in equation-(2) we get
A−B=30°
⇒45°−B=30°
⇒45°-30°=B
⇒B=15°
∴A=45° ;B=15°
I hope this helps you
.
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