Exam 5: Identities and Formulas

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

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

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

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

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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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If If   with A in QII find   . ​ with A in QII find If   with A in QII 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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In the list below find the right part of the identity. In the list below find the right part of the identity.   ​

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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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If If    with A  in QIII, find   ​  with A  in QIII, find If    with A  in QIII, find   ​

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Write the expression as a single trigonometric function. Write the expression as a single trigonometric function.   ​

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

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Write a formula for Write a formula for   by writing   as   and using the formula for the sine of a sum. by writing Write a formula for   by writing   as   and using the formula for the sine of a sum. as Write a formula for   by writing   as   and using the formula for the sine of a sum. and using the formula for the sine of a sum.

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

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Graph one complete cycle of Graph one complete cycle of    by first rewriting the right side in the form   . ​  by first rewriting the right side in the form Graph one complete cycle of    by first rewriting the right side in the form   . ​ . ​

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