In ∆ ABC, ∠B = 90o, then sin (A + C) is.
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Given : in triangle abc, angle c=90°
To Find : sin(a+b)
Solution:
In any triangle sum of all angles of triangle is 180°
Hence ∠a + ∠b + ∠c = 180°
∠c = 90° given
=> ∠a + ∠b + 90° = 180°
=> ∠a + ∠b = 90°
sin(a+b) = Sin (90°)
=> sin(a+b) = 1
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Answer:
root 2 by 4
Step-by-step explanation:
because 1 angle is 90 degree so we know total perimeter of triangle will be 180 degree so
2x=180-90
x=45 so a and c each 45 degree now value of sin 45 is 1 by root 2
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