SOLUTION: Given that cotx=-5/6 and x is in quadrant 2, find sin2x, cos2x,tan2x

Question 992753: Given that cotx=-5/6 and x is in quadrant 2, find sin2x, cos2x,tan2x
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
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Given that cotx=-5/6 and x is in quadrant 2, find sin2x, cos2x,tan2x
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cot(x) =     --->      = ---> = .     --->

= ..         (1)

+ = 1,         (2)

Now substitute (1) into (2). You will get

. = 1,     or

= = .

Hence,   sin(x) = ,   cos(x) = -     (taking into account that x is in the second quadrant).

Now, when you know sin(x) and cos(x) values, you can calculate the remaining functions.

Use the trigonometry formulas

sin(2x) = 2sin(x)*cos(x), = . . . ,

cos(2x) = - = . . . ,

and then tan(2x) = = . . . .

Complete these calculations yourself.

Good luck!

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