please solve the above trigonometry question.
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Step-by-step explanation:
sin(x+2y) = √3/2
sin(x+2y)= sin60°
x+2y = 60° ........(1)
.cos(x+4y)= 0
cos(x+4y) = cos 90°
x+4y= 90° ..... .. (2)
On solving equations 1 and 2 we get,
x+2y=60°
x+4y=90°
________
-2y= -30°
y= 15°
Substitute value of y in 1 we get,
x+2(15)= 60°
x+30°=60°
x=30°.
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