Hi,

acute angle θ, 

θ	radians	sin θ	cos θ	tan θ

0°	0	0	1	0

30°	π/6	1/2	√3/2	√3/3

45°	π/4	√2/2	√2/2	1

60°	π/3	√3/2	1/2	√3

90°	π/2	1	0	─

cot(θ)=1

tan(θ)=1

sin(θ)= √2/2

csc(θ)= 2/√2

cos(θ)=√2/2

sec(θ)=2/√2

Following (cosx, sinx) Unit Circle Summary for Your reference, as well



 

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
 
You were to sketch a triangle, not a circle.

cot(θ)=1

The cotangent is the adjacent over the opposite.

Write the 1 as 



Then when we draw the right triangle, we will make the adjacent side
to  equal to the numerator of , which is 1 and the opposite
side of  equal to the denominator of  which is 1 as well, so the
right triangle is:



Now we calculate the hypotenuse by the Pythagorean theorem:















Now the adjacent side = 1, the opposite side = 1, 
and the hypotenuse = 







And you were already given:



Edwin
 

RELATED QUESTIONS

Sketch a triangle that has acute angle θ, and find the other five trigonometric... (answered by stanbon)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by solver91311)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by Theo)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by jsmallt9)

Find the other five trigonometric functions of the acute angle B, given that... (answered by lwsshak3)

Find the values of the trigonometric functions of θ if csc θ = 13/9

and... (answered by Alan3354,ewatrrr)

I need help please :) 

Find the values of the six trigonometric functions for the... (answered by Alan3354)


1). Find the length of an arc that subtends a central angle of 150 ° in a circle of... (answered by stanbon)

If secθ = -2 and sin θ > 0, find the exact value of the six trigonometric... (answered by Edwin McCravy,AnlytcPhil)