Hi friends,
trust you are all doing well...please just quick guidance with this problem?
If Sin22 = k, use a diagram to determine Cos158 in terms of k
My problem is that if the angle is given a θ for example, I can do the sum, I'm just not sure how to work with a given angle?..Thank you very much indeed!
cos(158) = cos(180 - 22) = cos(180)*cos(22) + sin(180)*sin(22) = -cos(22) = -√(1-sin(22)^2) = - √(1 - k^2)
Hi Alan,
Yes, I worked on it and kinda got it right, thank you klindly, however, maybe just one that I do not see how to go about is to calculate Sin11?...Must I devide Sin22 by 2 and then proceed, in which case I'm not sure how to?..or is it an entirely different approach?..please if you don't mind..
Note that cos(22) = √(1 - k^2) from the previous result.
Also cos(22) = cos(11 + 11) = 1 - 2*sin(11)^2
Can you take it from there?
Hi Alan,
I see, so I then say
Cos22=Cos2(11)
Cos22=1−2Sin211
√1−k2=1−2Sin211
2Sin211=1−√1−k2
Sin11=√1−√1−k22
I think this might be it?