MAC1114 test3

MAC1114 test3 - MAC 1114 TEST THREE Directions: Show work...

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MAC 1114 NAME: ANNE SIRKEY TEST THREE Directions: Show work for all problem. Little to no work means no credit . For problems 1 to 6, find the exact value of each expression. Do leave any trigonometric or inverse trigonometric functions in your final result. ) 2) ( ) 1 cos 1 3) 1 5 sin sin 4 π ⎛⎞ ⎜⎟ ⎝⎠ 1) ( 1 tan 3 () 1 tan 3 tan 3, 22 3 y yy y ππ =− < < ( ) 1 cos 1 cos 1, 0 y y = −< < = 1 5 sin sin 4 5 sin sin , 42 2 2 sin 2 4 y y =⇒ < < 4) 1 5 sec sin 3 Let 1 5 sin 3 θ = . Then 5 sin 32 2 54 cos 1 sin 1 99 cos cos 0 for 93 2 2 2 sec 3 θθ < < =− = ⇒ == > < <⇒ = 5) 1 cos cos 3 ⎡⎤ ⎢⎥ ⎣⎦ 1 cos cos 3 cos cos , 0 3 1 cos 2 3 y y < < =< < =
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6) 1 4 sin 2cos 5 ⎛⎞ ⎜⎟ ⎝⎠ () 1 1 44 34 Let cos . Then cos 0 and sin sin 2cos sin 2 55 34 2 4 2sin cos 2 55 2 5 x xx x π == = x = = ______________________________________________________________________________________________ 7) Find the exact value of 11 2 sin sin tan 4 5 −− + . Do leave any trigonometric or inverse trigonometric functions in your final result.
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MAC1114 test3 - MAC 1114 TEST THREE Directions: Show work...

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