Question

3sintheta=sintheta+1

Answer 1

To solve for theta in the equation 3sin(theta) = sin(theta) + 1:

First, we can simplify the equation by subtracting sin(theta) from both sides:

2sin(theta) = 1

Then, we can isolate sin(theta) by dividing both sides by 2:

sin(theta) = 1/2

Using the unit circle or a calculator, we can find the two possible solutions for theta:

theta = pi/6 + 2npi or theta = 5pi/6 + 2npi, where n is an integer.