Solve cos(2x)=1-sin(x)

Given:

Expanding using double angle formula,

Rearranging into a single equation,

Combining like terms,

Now multiplying each term by -1,

Factor greatest common factors out,

Applying Zero property rule,

• Solve the trignometric equation to find a particular solution,

• Find the union of the solution sets,

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• Rearrange unknown terms to the left side,

• Divide both sides of the equation by the coefficient of variable,

• Solve the trignometric equation to find a particular solution,

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☆ Now finding the union of both sets

Hence, the answer is

step-by-step explanation:

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