SOLUTION: If cot 17 equals 3.2709 find tan 73

Algebra ->  Trigonometry-basics -> SOLUTION: If cot 17 equals 3.2709 find tan 73      Log On


   

Question 993709: If cot 17 equals 3.2709 find tan 73
Found 3 solutions by Boreal, ikleyn, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
cot 17=tan 73.
It is 3.2709.
They are reciprocals, just like sin 60= cos 30.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
tan(73°) = sin%2873%5E0%29%2Fcos%2873%5E0%29.

sin(73°) = cos(90°-73°) = cos(17°)     (reduction formula).

cos(73°) = sin(90°-73°) = sin(17°).       - - - " - - -

Therefore,  tan(73°) = sin%2873%5E0%29%2Fcos%2873%5E0%29 = cos%2817%5E0%29%2Fsin%281%5E07%29 = cot(17°) = 3.2709.


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

If cot 17 equals 3.2709 find tan 73
cot and tan are CO-FUNCTIONS, so cot+%28theta%29+=+tan+%2890+-+theta%29 

Therefore, cot+17+=+tan+%2890+-+17%29 _________cot+17+=+tan+73

Thus, highlight_green%28cot+17+=+3.2709+=+tan+73%29