Trigonometry Question

Question

Find the exact values of the other trigonometric functions of θ given that cot θ=5 and sin θ<0.

 

Please do it step by step please

Answer 1

Hi Jorge,

 

If Cot(x)= 5 it also means tan(x), which is 1/cot(x) is equal to 1/5.

 

You take this information and picture a right angled triangle.

 

Then ask yourself what could the values of the sides be to get 1/5 for tan.

 

you know tan is opposite/hypotenuse.

 

If you draw it in a way that on leg of the right angle is 1 unit and the other 5, you would just use Pythagoras theorem and find the third side, the hypotenuse.

 

from there you just use the formulas for the remaining trig functions

 

I hope this helpes