Question

If secθ=−5/4with π/2<θ<π , find the exact value of the other 5 trig functions of θ . If secθ=−5/4with π/2<θ<π , find the exact value of the other 5 trig functions of θ . @Mathematics

Answer 1

You're in the second quadrant. The cosine is -4/5 since it is the reciprocal of the secant. So this is a 3-4-5 right triangle. The side adjacent is 4, the side opposite is 3 and the hypotenuse is 5
sin = 3/5
cos = -4/5
tan = -3/4
cot = -4/3
sec is given
csc = 5/3

Answer 2

does this" π/2<θ<π" really ,matter when solving the question?