Question 1170578

Determine the values of the trigonometric functions of t if P(t) lies in the fourth quadrant and on the line 
y = −2x
<pre>"t" is in the 4th quadrant where ONLY cos is positive (+).
Correct method: {{{matrix(2,3, y, "=", - 2x, y/x, "=", - 2)}}}
                {{{matrix(1,7, tan (t), "=", O/A, "=", y/x, "=", (- 2)/1)}}}
                {{{matrix(4,3, r^2, "=", y^2 + x^2, r^2, "=", (- 2)^2 + 1^2, r^2, "=", 5, r, "=", sqrt(5))}}}
     Therefore, {{{matrix(5,9, sin (t), "=", O/H, "=", y/r, "=", (- 2)/sqrt(5), "=", (- 2sqrt(5))/5,
cos (t), "=", A/H, "=", x/r, "=", 1/sqrt(5), "=", sqrt(5)/5,
csc (t), "=", H/O, "=", r/y, "=", sqrt(5)/- 2, "=", sqrt(5)/(- 2),
sec (t), "=", H/A, "=", r/x, "=", sqrt(5)/1, "=", sqrt(5), 
cot (t), "=", A/O, "=", x/y, "=", 1/- 2, "=", - 1/2)}}}
That's IT!! Nothing MORE, Nothing LESS!!