if sin (a+b)=1 and cos(a-b)=root 3by2 then find vaule of a and b
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Answer:
Given sin(A+B)=1
⇒sin(A+B)=sin90°
(∵sin90°=1)
⇒A+B=90° …………(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=90 +30
⇒2A=120°
⇒A=120/2
⇒A=60 °
Putting A=60°
in equation-(2) we get
A−B=30°
⇒60°
−B=30°
⇒60 °
−30 °=B
⇒B=30°
∴A=60°
;B=30°
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Answer:
a+b)=1 and cos(a-b)=root 3by2 then find vaule of a and
Step-by-step explanation:
a+b)=1 and cos(a-b)=root 3by2 then find vaule of a and
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