The Student Room Group

Math problem pls sovle

write down all the values of theta between 0 to 6pie for which sintheta=1
Reply 1
Original post by Angelo2002
write down all the values of theta between 0 to 6pie for which sintheta=1


sin(θ)=1,0θ6π\sin \left(\theta \right)=1,\:0\le \theta \le 6\pi
Draw out your CAST diagram, 1 is a positive number so its in the first and second quadrant. Using your calculator (radians mode) to find the first angle, which you should get to be π2\frac{\pi }{2}, now on your cast diagram, represent this angle theta and draw out using arrows how to get that angle/triangle. From there you should be able to find all the values ranging from 0 to 6pie
Reply 2
How do u find the first angle
done
Reply 4
Original post by Angelo2002
How do u find the first angle

I said use a calculator, just do the inverse, sin inverse of 1. If you want to be a little faster for exam practice. Look at the sine graph, you should be familiar about the maximums and minimums of the graph. The first maximum you should know is 90 degrees or pi/2. Another way of doing this question is to keep adding 2pi, because the sine function is 2pi periodic.

Quick Reply

Latest