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Unit 1.4 Trigonometric Functions of Any Angle

 1. 

Find the reference angle mc001-1.jpg, and select mc001-2.jpg and mc001-3.jpg in standard position.

mc001-4.jpg
a.
mc001-5.jpg
mc001-6.jpg
d.
mc001-11.jpg
mc001-12.jpg
b.
mc001-7.jpg
mc001-8.jpg
e.
mc001-13.jpg
mc001-14.jpg
c.
mc001-9.jpg
mc001-10.jpg
 

 2. 

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

mc003-1.jpg
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
e.
mc003-6.jpg
 

 4. 

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg        
c.
mc004-4.jpg               
d.
mc004-5.jpg
e.
mc004-6.jpg            
 

 5. 

Find the indicated trigonometric value in the specified quadrant.

     Function     Quadrant Trignometric value
    mc005-1.jpg           II            mc005-2.jpg

a.
mc005-3.jpg
b.
mc005-4.jpg
c.
mc005-5.jpg
d.
mc005-6.jpg
e.
mc005-7.jpg
 

 6. 

A company that produces snowboards, which are seasonal products, forecasts monthly sales over the next 2 years to be mc006-1.jpg, where S is measured in thousands of units and t is the time in months, with mc006-2.jpg representing January 2010. Predict sales for  following month. Round your answer to three decimal places.

February 2011
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
d.
mc006-6.jpg
e.
mc006-7.jpg
 

 7. 

A company that produces snowboards, which are seasonal products, forecasts monthly sales over the next 2 years to be mc007-1.jpg, where S is measured in thousands of units and t is the time in months, with mc007-2.jpg representing January 2010. Predict sales for  following month. Round your answer to three decimal places.

June 2010
a.
mc007-3.jpg
b.
mc007-4.jpg
c.
mc007-5.jpg
d.
mc007-6.jpg
e.
mc007-7.jpg
 

 8. 

Find the indicated trigonometric value in the specified quadrant.

     Function     Quadrant Trignometric value
    mc008-1.jpg           III            mc008-2.jpg

a.
mc008-3.jpg
b.
mc008-4.jpg
c.
mc008-5.jpg
d.
mc008-6.jpg
e.
mc008-7.jpg          
 

 9. 

The displacement from equilibrium of an oscillating weight suspended by a spring is given by mc009-1.jpg, where mc009-2.jpg is the displacement (in centimeters) and mc009-3.jpg is the time (in seconds). Find the displacement when  mc009-4.jpg. Round your answer to two decimal places.
a.
mc009-5.jpg
b.
mc009-6.jpg
c.
mc009-7.jpg
d.
mc009-8.jpg
e.
mc009-9.jpg
 

 10. 

Determine the exact value of mc010-1.jpg.
a.
1
b.
mc010-2.jpg
c.
mc010-3.jpg
d.
mc010-4.jpg
e.
–1
 



 
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