Question

if cos (x-20 degree ) =sin (3x-10) then find the value of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of x is 20.

Step-by-step explanation:

Since we have given that

cos (x-20°) = sin(3x-10°)

We need to find the value of x.

As we know that

cos (90-x) = sin x

So, it becomes,

$\sin(90-x+20)=\sin (3x-10)\\\\\sin (70-x)=\sin (3x-10)\\\\70-x=3x-10\\\\70+10=3x+x\\\\80=4x\\\\x=20$

Hence, the value of x is 20.

# learn more:

If sin(x-20) = cos(3x-10) then find the value of x.

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