Question

What is the value of x?

sin(x+16)°=cos(2x+14)°

Enter your answer in the box.
x=

Answer 1

x+16+2x+14=90
so x=20.

sin 36° = cos 54°

Answer 2

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