Problem

Prove each identity using an algebraic approach. State restrictions.
4) cscxsec2x+csc2x=sinxsec2x

Answer

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Answer

The simplified expression is equal to the right-hand side of the equation, so the identity is true: cscxsec2x+csc2x=sinxsec2x

Steps

Step 1 :Rewrite the given expression in terms of sine and cosine functions: 1/sinx(1/cos2x)+(1/sin2x)

Step 2 :Simplify the expression: sinxcos2x

Step 3 :The simplified expression is equal to the right-hand side of the equation, so the identity is true: cscxsec2x+csc2x=sinxsec2x

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