Exam 5: Identities and Formulas

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

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

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Verify the identity. Verify the identity.

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Find the exact value for the following. Find the exact value for the following.   ​

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

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

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Simplify the expression. Simplify the expression.

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Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.

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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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Prove the identity. Prove the identity.

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

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

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

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Prove the identity. Prove the identity.

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

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