If sin x + cos y = 1, x = 30° and y is acute angle, find the value of y.
Answer :
sin x + cos y = 1
x = 30°
sin 30° + cos y = 1
⇒ 1/2 + cos y = 1
cos y = 1 – ½
cos y = (2 – 1)/2 = ½
cos 60° = ½
cos y = cos 60°
y = 60°
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