If sin A = 1/√2 and cot B = 1, prove that sin (A + B) = 1, where A and B both are acute angles.
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✰ Qᴜēsᴛíõñ :-
If sin A = 1/√2 and cot B = 1, prove that sin (A + B) = 1, where A and B both are acute angles.
✪ Söʟúᴛîøɴ :-
sin A = 1/√2 = sin 45° ➙ A = 45°
cot B = 1 = cot 45° ➙ B = 45°
L.H.S sin (A + B) = sin(45° + 45°)
= sin 90°
= 1 = R.H.S
⛬ L.H.S = R.H.S
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