SOLUTION: What would be the solution to these problems? 1.If cos 0= -4/5,find sec 0. 2.Find the value of cot 330. 3.Find the value of sin 0 for angle 0 in standard position of the point (

Question 172925: What would be the solution to these problems?
1.If cos 0= -4/5,find sec 0.
2.Find the value of cot 330.
3.Find the value of sin 0 for angle 0 in standard position of the point (-2,-4)that lies on the terminal side.
4.Suppose 0 is an angle in standard position whose terminal side lies in quadrant 2 and the tan 0=-1.Find the remaining trigonometric functions for the function 0.
5.Use the right triangle ABC to find side a if A=37 and b=9
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
I will answer number (2) only. We would love to see your effort.
2.Find the value of cot 330.
Well, cot330 lies in quadrant 4.
In quadrant 4, cotagent is negative.
Let's find the reference angle of cot330.
To do so, subtract 330 degrees from 360 degrees.
So, 360 - 330 = 30 degrees
Final answer: cot330 = 30 degrees = sqrt{3} but since cotagent is negative in quadrant 4, we must include the negative sign to get the answer -sqrt{3}

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