If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x?

A)
15°; 0.2588
B)
15°; 0.9659
C)
75°; 0.2588
D)
75°; 0.9659

Question

If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x?

A)
15°; 0.2588	
B)
15°; 0.9659	
C)
75°; 0.2588	
D)
75°; 0.9659

mathmale · Answer

How are y ou expected to answer this type of question?  Are you allowed to, or are you encouraged to, use a calculator?

alexvelez · Answer

I'm allowed to use a calculator I just need some help
@mathmale

directrix · Answer

Go to http://web2.0calc.com/ and enter as shown. Click on the 2nd button before clicking on sine. I assume you want the degree measure of the angle with sine of .2588

directrix · Answer

Post what you get, okay?

There is a second part to the question.  @alexvelez

mathmale · Answer

All right.  From the given answer choices I see you want the result in degrees, to the nearest degree, actually.  Not radian measure.

So:  If you're given sin x = 0.2588 approx, find x to the nearest degree. 

While you don't have to sketch this angle, it just might help you to visualize the answer if y ou do graph it.

Continuing:  if sin x  = 0.2588, use your calculator to find $$\sin ^{-1}0.2588$$

mathmale · Answer

and then round off your answer to the nearest degree.