Math%112%(%Quiz%8% % % % % % Name_________________________________%SHOW%ALL%WORK% %%Pick%THREE%of%the%following%four%problems%to%solve.%%

1) Simplify%1− sin x + cos x( )2sin x + sin x

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2) The%Expression%

42 + cos x

− cos x2sec x + cos xsec x

1+ cos x + tan xcot x%can%be%expressed%in%the%form%

A − cos xB + cos x

.%Determine%

A%and%B.%%%Hint:%break%it%up%into%several%“chunks”%and%simplify%each%of%them%separately.%% (7%points)% %

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3) Given%the% sin 54!( ) = 1+ 5

4,%express%

sin 108!( ) %in%the%form% A + B 5

4.%% % (7%points)%

Hint:% sin(A + B) = sinAcosB + cosAsinB %%%%%%%%%%%%%%%%%%%%%%%

4) Express% tan 5π12

⎛⎝⎜

⎞⎠⎟ %in%the%form%

3 + A3 − B

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Hint:% tan(A + B) = tanA + tanB1− tanA tanB

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