SOLUTION: If tan (theta) = (-7/5) and sin (theta) < 0, then find sin (theta) cos (theta) sec (theta) csc (theta) cot (theta)

Question 790053: If tan (theta) = (-7/5) and sin (theta) < 0, then find
sin (theta)
cos (theta)
sec (theta)
csc (theta)
cot (theta)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If tan (theta) = (-7/5) and sin (theta) < 0, then find
Given data shows that reference angle is in quadrant IV where sin<0 and cos>0
solve for hypotenuse of reference right triangle:
=√(7^2+5^2)=√(49+25)=√74
sin (theta)=-7/√74=-7√74/74
cos (theta)=5/√74=5√74/74
sec (theta)=√74/5
csc (theta)=-√74/7
cot (theta)=-5/7
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