SOLUTION: If tanθ = − 8/7 and sinθ > 0 , then find sin, cos, sec, csc, cot

Algebra ->  Trigonometry-basics -> SOLUTION: If tanθ = − 8/7 and sinθ > 0 , then find sin, cos, sec, csc, cot      Log On


   

Question 1181967: If tanθ = − 8/7 and sinθ > 0 , then find sin, cos, sec, csc, cot
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the triangle is 7-8-sqrt(113);
so tan theta is sin th/cos th; cot th is -7/8
so the opposite side over hypotenuse is +8/sqrt(113), the sine. The csc is the reciprocal
the cosine is -7/sqrt(113). The sec is the reciprocal.
This triangle is in the second quadrant.