# Trigonometry

posted by on .

Please review and tell me if i did something wrong.

Find the following functions correct to five decimal places:

a. sin 22degrees 43'
b. cos 44degrees 56'
c. sin 49degrees 17'
d. tan 11degrees 37'
e. sin 79degrees 23'30'
f. cot 19degrees 0' 25''
g. tan 64degrees 6' 45''
h. cos 29degrees 45' 48''
i. cot 78degrees 45' 50''
j. cos 15degrees 12' 51''

showing my work i got this

a. sin 22 degrees 43’ =sin(43 + 43/60 ) = sin(22.71666667) = 0.386174381
b. cos 44 degrees 56’ =cos(56 + 56/60 ) = cos(44.93333333) = 0.707929058
c. sin 49 degrees 17’ =sin(17 + 17/60 ) = sin(49.28333333) = 0.757944616
d. tan 11 degrees 37’ =tan(37 + 37/60 ) = tan(11.61666667) = 0.205573683
e. sin 79 degrees 23’ 30” =sin(23 + 23/60 + 30/3600) = sin(79.39166667) = 0.982908584
f. cot 19 degrees 0’ 25” =cot(0 + 0 + 25/3600) = cot(19.00694444) = 2.903067794
g. tan 64 degrees 6’ 45” =tan(6 + 6/60 + 45/3600) = tan(64.1125) = 2.060562685
h. cos 29 degrees 45’ 48” =cos(45 + 45/60 + 48/3600) = cos(29.76333333) = 0.868083316
i. cot 78 degrees 45’ 50” =cot(45 + 45/60 + 50/3600) = cot(78.76388889) = 0.198660382
j. cos 15 degrees 12’ 51” =cos(12 + 12/60 + 51/3600) = cos(15.21416667) = 0.964951637

• Trigonometry - ,

You can do all these with the Google calculator site, if you don't have a pocket calculator.

a. 22 deg 43 min = 22.716667 deg
sin 22.716667 = 0.386174
Round off to 0.38617

It looks like you are doing these correctly.

• Trigonometry - ,

To use Google calculator, you must first convert the angle to radians.
Example:

• Trigonometry - ,

On most scientific calculators, you will find a key marked something like
D°M'S

it allows you to enter your angle in the form: degrees:minutes:seconds

e.g. for J)
cos 15°,12',51"

enter
15 D°M'S
12 D°M'S
51 D°M'S
press =
cos
=

• Trigonometry - ,

I need to show my work so i cant use a calculater . did i show it correctly?