Exam 5: Identities and Formulas

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Find the expression identical to the one given. Find the expression identical to the one given.   ​

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Prove the identity. Prove the identity.

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Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. If so, then prove the identity. Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. If so, then prove the identity.

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Simplify the expression. Simplify the expression.

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If If   , write the expression    in terms of just x . ​ , write the expression  If   , write the expression    in terms of just x . ​ in terms of just x . ​

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If If   with A in QIII Find   . ​ with A in QIII Find If   with A in QIII Find   . ​ . ​

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If  If     with B  in QIII, find ​   with B  in QIII, find ​ If     with B  in QIII, find ​

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Use half-angle formulas to find the exact value for the following: ​ Use half-angle formulas to find the exact value for the following: ​   ​

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Use half-angle formulas to find the exact value for the following: ​ Use half-angle formulas to find the exact value for the following: ​   ​

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Rewrite the expression as a sum or difference, then simplify if possible. Rewrite the expression as a sum or difference, then simplify if possible.   ​

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If  If     with A  in QIV, find   with A  in QIV, find If     with A  in QIV, find

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Use half-angle formulas to find the exact value for the following: ​ Use half-angle formulas to find the exact value for the following: ​   ​

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If If   , find   . ​ , find If   , find   . ​ . ​

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From the list below find the expression, identical for the given. From the list below find the expression, identical for the given.   ​

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Simplify the expression. Simplify the expression.   ​

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If If   , write the expression    in terms of just x . , write the expression  If   , write the expression    in terms of just x . in terms of just x .

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Prove that the identity is true. Prove that the identity is true.

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Find the identical expression for the following. Find the identical expression for the following.   ​

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If  If     with A  in QIV , find   ​  with A  in QIV , find If     with A  in QIV , find   ​

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Prove that the identity is true. Prove that the identity is true.

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