Question 1154334

FOR THE ACUTE ANGLE sin theta =3/5, FIND:

COS theta
TAN theta
COT theta
SEC theta
CSC theta

(sorry! I do not know how to make a theta symbol!)
<pre>As {{{theta}}} is ACUTE, the 6 TRIG. functions are in Quadrant 1.
{{{matrix(1,5, sin (theta), "=", 3/5, "=", O/H)}}}
As one of the legs is 3, and the hypotenuse is 5, it's then obvious that this is a PYTHAGOREAN triple, and so, the other leg (longer) will be 4.  
As such, we can see that {{{matrix(3,5, Hypotenuse, "=", H, "=", 5,
Opposite, "=", O, "=", 3,
Adjacent, "=", A, "=", 4)}}}
The other 5 TRIG. functions are: {{{highlight_green(matrix(5,3, cos (theta), "=", A/H, tan (theta), "=", O/A, cot (theta), "=", A/O, sec (theta), "=", H/A,
sin (theta), "=", H/O))}}}
Now, make the SUBSTITUTIONS.