Sec(A+B)=√2 and cosec(A-B) is not defined,then value of B
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The value of ∠B = - 22.5°
Step-by-step explanation:
We have,
and
To find, the value of ∠B = ?
∴
⇒ [ ∵
⇒ A + B = 45° ....... (1)
Also,
⇒
⇒ A - B = 90° ....... (2)
Subtracting (1) from (2), we get
A + B - ( A - B) = 45° - 90
⇒ A + B - A + B = - 45°
⇒2B = - 45°
⇒ B = - 22.5°
Hence, the value of ∠B = - 22.5°
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