Question

Sinx=cos19∘sinx=cos19∘ what is the value of x? enter your answer in the box. x = °

Answer 1

x=90
sin90=1
cos19 x 1=cos19

Answer 2

The value of x is 71°.

Explanation:

The given equation is

`\sin x=\cos 19^(\circ)`

According to the property of trigonometry,

`\cos\theta^(\circ)=\sin (90-\theta)^(\circ)`

Using the property of trigonometry,

`\sin x=\sin (90-19)^(\circ)`

`\sin x=\sin (71)^(\circ)`

On equating both the sides we get

`x=71^(\circ)`

Therefore the value of x is 71°.