If $$ \cos(6 heta) = \sin(3 heta) $$, then the value of $$ heta $$ is:

Question

If $$ \cos(6	heta) = \sin(3	heta) $$, then the value of $$ 	heta $$ is:

Accepted Answer

#### Step 1: Use Trigonometric Identity
We know that:  
$$
\sin(90^\circ - x) = \cos(x).
$$

The equation $$ \cos(6	heta) = \sin(3	heta) $$ can be rewritten as:  
$$
6	heta + 3	heta = 90^\circ.
$$

#### Step 2: Solve for $$ 	heta $$
Simplify the equation:  
$$
9	heta = 90^\circ.
$$  
$$
	heta = \frac{90^\circ}{9} = 10^\circ.
$$

Answer

Answer

Answer