Exam 5: Identities and Formulas

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Verify the identity. Verify the identity.

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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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Show that the following is true. Show that the following is true.

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If If    with B  in QIV, find   ​  with B  in QIV, find If    with B  in QIV, find   ​

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Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)​ Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)​

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Graph the function from Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​  and Graph the function from    and   y = 2 - 4sin<sup>2 </sup>3 x ​ y = 2 - 4sin3 x ​

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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 your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.   ​

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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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Evaluate the expression without using a calculator. Evaluate the expression without using a calculator.

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Prove the identity. Prove the identity.

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From the list below find the expression equivalent to ​ From the list below find the expression equivalent to ​   ​

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Use half-angle formulas to find the exact value for the following: ​ cos 165°

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Prove the identity. Prove the identity.

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If If   with A in QI  Find   . with A in QI Find If   with A in QI  Find   . .

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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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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. Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.   ​

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If If   with A in QII find   .  ​ with A in QII find If   with A in QII find   .  ​ . ​

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