trigonometry
posted by michelle .
How do you find: cot(5pie/4)?
you have to know that cotx = 1/tanx
so you could just trustfully change your calculator to radians
enter 5*pi/4, press =, press +/,
then press Tan, =, then the 1/x key
you should get 1
or...
you could do it the more rewarding way without a calculator.
pi/4 radians is 45º, so 5pi/4 is 225º
225º is a clockwise rotation and lands you in the second quadrant where the tan is negative, and 45º up from the xaxis.
now tan45º=1, so tan(225º)=1
then cot(225)=1/1=1
thanks.
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