# How do you verify the identity: #sin2x=(tanx)(1+cos2x)#?

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To verify the identity sin(2x) = tan(x)(1 + cos(2x)), you can use trigonometric identities and algebraic manipulation. Start with the expression sin(2x) and use double-angle identities to expand it. Then, use the definitions of tan(x) and cos(2x) in terms of sin(x) and cos(x). Finally, simplify both sides of the equation to see if they are equal. If the left side is equal to the right side after simplification, the identity is verified.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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