can someone help me with this trig question??

given the exact value of sinΘ=-4/7, and the terminal side of Θ lies in quadrant IV, find the exact value of sec Θ.

i understand what the question is asking, i just don't understand how to answer it. walkthrough please!

Question

can someone help me with this trig question?? 



given the exact value of sinΘ=-4/7, and the terminal side of Θ lies in quadrant IV, find the exact value of sec Θ.

i understand what the question is asking, i just don't understand how to answer it. walkthrough please!

anonymous · Answer

well if you know sin is -4/7 you know that y value is -4
hypotenuse is 7
so use pythagorean theorem to get the other side. and you should be able to fill out all 6 trig functions

anonymous · Answer

draw a right triangle, which i cannot draw here because the draw tool does not work

anonymous · Answer

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anonymous · Answer

@lonnie455rich thanks, i had a brain fart and forgot that sin= opp over hyp

anonymous · Answer

it happens. remember
soh o/h
cah a/h
toa o/a

anonymous · Answer

what do i do since the number is negative? i can't have a negative length

anonymous · Answer

your length isnt negative its relative position to the origin is negative. remember 
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