Pre Calculus trigonometry

Question

What is 79º15’11.92” to radians?

Answer 1

15' = 15/60 degree

11.92" = 11.92/3600 degree

79 + 15/60 + 11.92/3600 = (284,400 + 900 + 11.91)/3600 = 285,311.91/3600 degrees

= pi/180 x 285,311.92/3600 = (285,311.92/648,000)pi radians = about 1.3832300054 radians

79 degrees = 79pi/180 radians = about 1.38 radians

79 degrees 15 seconds and 11.92 minutes is slightly more than 1.38 radians

Answer 2

Pre Calculus trigonometry: What is 79º15’11.92” to radians?

Solution:

(79º15’11.92”)(π/180°) = 1.383231222

Answer 3

Convert measure from minutes/seconds to decimal of degrees.

Then multiply by π / 180°