So what they are giving you is the x,y coordinate of the terminal side of an angle. Meaning 4,10 is the point x=4 and y= 10. So if we have that, then we can solve for the quadrant that the angle falls in. So for two positive values it tells us it falls in quad 1.
So we have x and y so now use x^2+y^2=h^2 to solve for hypotenuse.
So we get h=sqrt(4^2+10^2)= sqrt(116) or 2*sqrt(29).
Now we just use the above identities and plug and chug for your answers. Doing the same one point(4,10) Sin=10/2*sqrt(29)= (5*sqrt(29))/29 Cos=4/2*sqrt(29)= (2*sqrt(29))/29 Tan=10/4=5/2 Sec=2*sqrt(29)/10= sqrt(29)/5 Csc=2*sqrt(29)/4= 2*sqrt(29)/2 Cot=4/10= 2/5
Now do the same thing as above for all sets of your questions.
Hope this helps!! Any questions please just ask! Thank you so much!
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.
