how would i predict values of x for which the graphs of y=sin(x) and y=cos(x) will intersect in the interval from 0 to 360 degrees ?

6 years agodo you actually want to solve this or is the question how do you predict the solution?

6 years agosolve it

6 years ago\[\large sinx=cosx\]

6 years ago\[\large \frac {sinx}{cosx}=1 \rightarrow tanx = 1\]

6 years agoi divided both sides by cosx to get tanx =1.

6 years agook. what values of x will give you a value of 1?

6 years agosin 45 and cos 45

6 years agoyou only want the angle x... so x=45 correct?

6 years agooh okay so x = 45.

6 years agobut so fast.... there is another answer.... [HINT: x is in the third quadrant]

6 years agothe angle in the third quadrant has 45 as its reference angle... :)

6 years ago45 - 180 = -135 x= -135?

6 years agoother way.... 180+45

6 years agooh 225 ?

6 years agoyep.... so those are your two solutions between 0 and 360 in which sinx = cosx... good work alexies... :)

6 years agothank you ! :) so it i were to look for values from -360 to 360 i'd just subtract from 45 right?

6 years agoyes... make sure the angles are COTERMINAL with these two angles of 45 and 225 and you'll be fine... :)

6 years agookay thanks ! :)

6 years agoyw...:)

6 years agobtw.. it's saturday... why homework?

6 years agohaha yeah, and cause the school year's almost over and i need to get caught up so i don't take summer school. :P

6 years agooo... let me know if you need anymore help then! you should be having fun over the summer and not going to school...

6 years agooh wow thank you so much ! & yep :) I'm leaving the country right after the last day of exams haha.

6 years ago