Question

If tanθ=− 5/12 with −π/2<θ<0 , find the exact value of the other 5 trig functions of θ . If tanθ=− 5/12 with −π/2<θ<0 , find the exact value of the other 5 trig functions of θ . @Mathematics

Answer 1

Have I taught you nothing yet??? This angle is in the fourth quadrant. If the tangent is 5/12, the side opposite is 5, the side adjacent is 12 and the hypotenuse is 13. so...
sin = -5/13 (4th quadrant, y is negative)
cos = 12/13 (4th quadrant, x is positive)
cot = -12/5 (reciprocal of tan)
sec = 13/12 (reciprocal of cos)
csc = -13/5 (reciprocal of sin)

Answer 2

whenever i draw the triangle,where will i call my opposite?