Hamilton - Math To Build On: Function Keys

Hamilton's Math To Build On - copyright 1993

Function Keys: Questions & Answers

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About Math To Build On || Contents || Back to Function Keys || Glossary
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Using the Function Keys: Practice

Find the indicated function for each angle below. Round off to 4 decimal places.

   (1)  tan 45°      1.0000

   (2)  sin 33°      0.5446

   (3)  cos 25°      0.9063

   (4)  sin 60°      0.8660

   (5)  cos 54°      0.5878

   (6)  tan 75°      3.7321

   (7)  sin 89°      0.9998

   (8)  cos 60°      0.5000

Using the Inverse Key with Functions: Practice

Find the function shown for each angle. Round each answer off to 4 decimal places.

   (1)  csc 40°      1.5557

   (2)  sec 45°      1.4142

   (3)  cot 34°      1.4826

   (4)  sec 12°      1.0223

   (5)  cot 60°      0.5774

   (6)  csc 24°      2.4586

   (7)  sec 65°      2.3662

   (8)  cot 1°       57.29

Using the Inverse Key with the Arc Functions: Practice

Find the angle for each function. Round the answers off to the nearest 1/2 degree.
Remember: The 1/x key is used with functions and not degrees. Do not be a speed demon on the calculator. Wait until the function shows up on the display before you push the 1/x key.
   (1)  cot = 0.1777     80° 
   (2)  csc = 1.0302     76° 
   (3)  sec = 1.1040     25° 
   (4)  cot = 12.154     4.5° 
   (5)  sec = 2.2034     63° 
   (6)  cot = 0.9014     48° 
   (7)  csc = 2.622      22.5° 
   (8)  sec = 5.1216     78.5° 

Calculating Right Triangles Using One Side and One Angle

Find the lengths of the two unknown sides (the angle given is the reference angle for the side). Round off your answers to 4 decimal places.
    Deg  Side  Lg    Length   Side

(1)  65°    opp    4"    4.4135"    hyp
                        1.8652"    adj

(2)  45°   hypo    5'    3.5355'    opp
                        3.5355'    adj

(3)  20°    adj    12"   4.3676"    adj
                        12.7701"   hyp

(4)   1°    opp    1"    57.29"     adj
                        57.2987"   hyp

(5)  37°    adj    6'    7.5128'    hyp
                        4.5213'    opp

(6)  55°    opp    3'    2.1006'    adj
                        3.6623'    hyp

(7)  70°    hyp    136"  127.7982"  opp
                        46.5147"   adj

(8)  88°    hyp    99'   98.9397'   opp
                        3.4551'    adj
Note: Don't be concerned if your calculations indicate a difference of a hundredth or so from the stated answer. You may have calculated a problem using a constant (1.1412 or .7071) while I derived the final answer using a function in my calculator, or I may have used a constant and you calculated using a function in your calculator. In the field, if you are calculating for machining parts or need a high degree of accuracy, use the function in your calculator, not a constant.

Back to Using the Function Keys
Back to Using the Inverse Key with Functions
Back to Using the Inverse Key with the Arc Functions
Back to Calculating Right Triangles Using One Side and One Angle

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