Question

If sqrt(3) * cos theta = sin theta and 0 deg < theta < 90 deg then find theta​

Answer 1

Answer: We can solve this equation by isolating theta on one side of the equation.

First, divide both sides of the equation by sin theta:

sqrt(3) * cos theta / sin theta = sin theta / sin theta

The left side simplifies to:

sqrt(3) * (cos theta / sin theta) = sqrt(3) * tan(theta) = 1

So, tan(theta) = 1/sqrt(3)

Using the inverse tangent function, we can find that theta = 60 degrees.

Explanation: