Question

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

Answer 1

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

Answer 2

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

sin 36° = cos 54°