if cos(A+B) =1/2, sin (And) =1/2, 0<A+B < 90°, if A>B, find A and B
Answers
Answered by
1
Answer:
A= 45
B = 15
Step-by-step explanation:
As given Sin (A-B) =1/2
and we know that Sin30 = 1/2
A-B = 30
given Cos (A+B) =1/2/
and we know that Cos60 = 1/2
A+B = 60
on solving these two euation
A= 45
B = 15
Answered by
0
Answer:
A = 45° and B = 15°
Step-by-step explanation:
cos(A + B) = 1/2
⇒ cos(A + B) = cos (60o) [cos (60o) = 1/2]
On equating both the sides, we get
A + B = 60o …(2)
On Adding Eq. (1) and (2),
we get
2A = 90o
⇒ A = 45o
Now, Putting the value of A in Eq.(2), we get
45o + B =60o
⇒ B = 15o Hence,
A = 45° and B = 15°
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