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Elza [17]
3 years ago
6

What is the value of x? sin(x+16)°=cos(2x+14)° Enter your answer in the box. x=

Mathematics
2 answers:
Westkost [7]3 years ago
7 0

Apply the formula :

sin(90 - x) = cos(x)

We are given :

sin(x+16)°=cos(2x+14)°

So comparing we have,

90 - (x+16) = 2x +14

distributing - over the bracket

90 - x-16 = 2x +14

bringing like terms together,

90 - 14-16 = 2x +x

60=3x

Dividing both sides by 3,

x =20

Answer : x=20


valina [46]3 years ago
5 0
X+16+2x+14=90
so x=20.

sin 36° = cos 54°
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