Solve sin θ+1= cos2θ on the interval 0≤ θ< 2 pi.
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Step-by-step explanation:

Applying double angle identity:

Doing so would give:

We need to get everything to one side so we have 0 on one side.

Subtract 1 on both sides:

Add on both sides:

Let's factor the left-hand side.

The two terms on the left-hand side have a common factor of .

.

This implies we have:

.

We need to solve both equations.

You are asking they be solved in the interval .

This means look at your unit circle and find when you have your y-coordinates is 0.

You this at 0 and . (I didn't include because you don't have a equal sign at the endpoint of .

Now let's solve

Subtract 1 on both sides:

Divide both sides by 2:

Now we are going to go and look for when the y-coordinates are -1/2.

This happens at and .

The solution set given the restrictions is

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step-by-step explanation: