The sine of 38 degrees is equal to 0.616, rounded to the nearest thousandth. What is the measure of an angle whose cosine is also equal to 0.616?
38
42
52
128

Question

The sine of 38 degrees is equal to 0.616, rounded to the nearest thousandth. What is the measure of an angle whose cosine is also equal to 0.616?
38
42
52
128

anonymous · Answer

If:|dw:1396240159771:dw|

anonymous · Answer

i just wanted to see if the answer i got was correct
i got 42

anonymous · Answer

My calculator says cos(42)=0.7431, so that wouldn't be correct.

ranga · Answer

sine and cosine are "co" functions. 
sin(x) = cos(90 - x) 
cos(x) = sin(90 - x)

anonymous · Answer

In a right triangle, the sine of an angle is equal to the ratio of the opposite leg of the triangle to that angle divided by the hypotenuse. The cosine is the same, except it's the adjacent leg of the triangle. In my diagram is there an angle that has an adjacent side that corresponds to the opposing side of 38 degrees?

ranga · Answer

Same is true of other "co" functions too: sec(x) and cosec(x)
tan(x) and cot(x).

ranga · Answer

sin(38) is same as cos(90-38)

anonymous · Answer

52

ranga · Answer

yes.

anonymous · Answer

the answer is 52