Exam 32: Verifying Trigonometric Equations

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Which of the following expressions is equivalent to the given expression 2525cosθ1+cosθ\sqrt { \frac { 25 - 25 \cos \theta } { 1 + \cos \theta } } ? (? ? ?n,where n is a whole number) ?

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B

Use the cofunction identities to evaluate the expression without using a calculator. ​ Sin225° + sin265° ​

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C

Which of the following expressions is equivalent to 5tanβ+5tanβ\frac { 5 } { \tan \beta } + 5 \tan \beta ? (? ? ?/2+?n,where n is a whole number) ?

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(Multiple Choice)
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C

Evaluate the following expression.(x ? ?n,where n is a whole number)? 5sec2(π2x)55 \sec ^ { 2 } \left( \frac { \pi } { 2 } - x \right) - 5 ?

(Multiple Choice)
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Evaluate the following expression. ? 4 tan x (arcsin x) ?

(Multiple Choice)
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Evaluate the following expression. ?? 5tan(π2θ)tanθ5 \tan \left( \frac { \pi } { 2 } - \theta \right) \tan \theta ?

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Which of the following expressions is equivalent to the given expression 9+9sinθ1sinθ\sqrt { \frac { 9 + 9 \sin \theta } { 1 - \sin \theta } } ? (? ? ?/2 + ?n,where n is a whole number) ?

(Multiple Choice)
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Which of the following expressions is equivalent to 3tan8x+3tan8y1tan8xtan8y\frac { 3 \tan 8 x + 3 \tan 8 y } { 1 - \tan 8 x \tan 8 y } ? (x ? ?n,y ? ?n,where n is a whole number) ?

(Multiple Choice)
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Use the cofunction identities to evaluate the expression without using a calculator. ​ Cos235° + cos250° + cos240° + cos255° ​

(Multiple Choice)
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Evaluate the following expression.(? ? ?/2 + ?n,where n is a whole number)? 3+3sinθcosθ+3cosθ1+sinθ\frac { 3 + 3 \sin \theta } { \cos \theta } + \frac { 3 \cos \theta } { 1 + \sin \theta } ?

(Multiple Choice)
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Evaluate the following expression.? cos2xcos2ysin2x+sin2y+sin2xsin2ycos2x+cos2y\frac { \cos 2 x - \cos 2 y } { \sin 2 x + \sin 2 y } + \frac { \sin 2 x - \sin 2 y } { \cos 2 x + \cos 2 y } ?

(Multiple Choice)
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Evaluate the following expression. ​ 2(1 + sin α)(1 - sin α) ​

(Multiple Choice)
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Evaluate the following expression. ​ 4 tan t cot t ​

(Multiple Choice)
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Which of the following expressions is equivalent to 3 sin2 α - 3 sin4 α? ​

(Multiple Choice)
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Which of the following expressions is equivalent to 2 - 4 cos2x + 4 cos4x? ​

(Multiple Choice)
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Evaluate the following expression.(x ≠ π/2+πn,where n is a whole number) ​ (tan5x + tan7x)sec2x ​

(Multiple Choice)
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Evaluate the following expression.? 3sec2y3cot2(π2y)3 \sec ^ { 2 } y - 3 \cot ^ { 2 } \left( \frac { \pi } { 2 } - y \right) ?

(Multiple Choice)
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Evaluate the following expression.(x ? ?/2 + ?n,where n is a whole number)? 6tanxcotxcosx\frac{6 \tan x \cot x}{\cos x} ?

(Multiple Choice)
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Evaluate the following expression.(? ? (?+2?n)/6,where n is a whole number)? sec3θ11cos3θ\frac { \sec 3 \theta - 1 } { 1 - \cos 3 \theta } ?

(Multiple Choice)
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Use the cofunction identities to evaluate the expression without using a calculator. ​ Tan273° + cot214° - sec276° - csc217° ​

(Multiple Choice)
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