Practice Test #3 - · PDF filePractice Test #3 1. Find the exact value of each expression....
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Practice Test #3 1. Find the exact value of each expression. Express all angles in radians. a. cos 31π 6 ( ) b. sin −π ( ) c. sec − π 4 ( ) d. tan 5 3 π ( ) e. arccos 0 () f. arccsc 2 3 ( ) g. sec arctan 8 () ( ) h. arccos cos − π 3 ( ) ( ) 2. Sketch at least one period of each function. State the period and the range. a. y = 1 3 cos x ( ) + 1 b. y = tan 2x −π ( ) 3. Find sin θ given that tan θ = 3 7 and θ is not a first quadrant angle. 4. Find an equivalent trigonometric expression. (Multiple Choice) a. sin x + cos x cot x I. cot x II. csc x III. 2sin x IV. cos 2 x + 1 b. 2sin 2 α− sin α− 3 I. sin α− 3 ( ) 2sin α + 1 ( ) II. 2 sin α + 1 ( ) sin α− 3 ( ) III. 2sin α− 3 ( ) sin α + 1 ( ) IV. sin α 2sin α− 1 ( ) − 2 c. sec θ tan θ + cot θ I. 1 II. sin θ III. sec θ IV. 2sec θ
Transcript of Practice Test #3 - · PDF filePractice Test #3 1. Find the exact value of each expression....
Practice Test #3
1. Find the exact value of each expression. Express all angles in radians.
a. cos 31π
6( ) b. sin −π( ) c.
sec − π
4( ) d.
tan 5
3π( ) e.
arccos 0( ) f.
arccsc 2
3( ) g.
sec arctan 8( )( ) h.
arccos cos − π
3( )( )
2. Sketch at least one period of each function. State the period and the range.
a. y = 1
3cosx( ) + 1 b.
y = tan 2x −π( )
3. Find sin θ given that tan θ = 3
7 and θ is not a first quadrant angle.
4. Find an equivalent trigonometric expression. (Multiple Choice)
a. sinx + cosx cotx
I. cotx II. cscx III. 2sinx IV. cos2 x + 1
b. 2sin2 α− sinα− 3
I. sinα− 3( ) 2sinα+ 1( ) II.
2 sinα+ 1( ) sinα− 3( )
III. 2sinα− 3( ) sinα+ 1( ) IV.
sinα 2sinα−1( )− 2
c.
sec θ
tan θ+ cot θ I. 1 II. sin θ III. sec θ IV. 2sec θ
