to all my mathemeticians....PLEASE HELP ME!!!!?

Question

I currently have trigonometry and I need some help so if you answer this question please let it relate to trig. NOT GEOMETRY (many ppl get confused)

How do you find the complement and supplement of an angle?

EX: find(if possible) the complement and supplement of the angle

π /3

&& also how do convert an angle measure to D° M' S" ( && if you can tell me what d,m,s is also that would be lovely!)

EX: convert the angle measure to D° M' S" form

240.6°

(if you don't know how to work out these problems if you can give me a link that will explain in detail how to solve these problems I would be very grateful!!!)

THANK YOU SO MUCH!!!!!

Answer 1

Complement of an angle = 90 degrees - angle
Supplement of an angle = 180 degrees - angle

so for the pi/3 case (or 60 degree case),
the complement = 90-60 = 30 degrees
the supplement = 180-60 = 120 degrees

D M S conversion = degrees, minutes, seconds
where 1 degree = 60 minutes
1 minute = 60 seconds

240.6 degrees

.6 degree * 60 minutes/degree = 36 minutes

so answer is 240 degrees 36 minutes 0 seconds

Good luck and read your Math book for additional details.

Answer 2

The complement of an acute angle A is the angle 90° – A.
For any angle A between 0° and 180°, the supplement of A is 180° – A.
The size of an angle. Angles are measured in degrees or radians.

D,M,S refer to degrees, Minutes and Seconds.
You need to state your problem clearly.
Do you want to convert angles from degrees, minutes and seconds to decimal degrees?
I will assume you do, here's an example :
Let's write 54°27'25'' as a decimal:
Solution: 54°27'25'' = 54° + 27' + 25''.

But 1' = 1°/60. Therefore, 27' = 27°/60 = .45°.
And 1'' = 1'/60 = 1°/3600. Therefore, 25'' = 25°/3600 = 0.00694444°.

Hence, 54°27'25'' = 54.45694444

Answer 3

For the complement sustract the angle from pi/2
for the supplement sustract it from pi