Question
Asked Oct 27, 2019
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1
Find sin 2x, cos 2x, and tan 2x if tanx=-
and x terminates in quadrant III
2
sin 2x
?
X
cos2x
tan 2x
II
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1 Find sin 2x, cos 2x, and tan 2x if tanx=- and x terminates in quadrant III 2 sin 2x ? X cos2x tan 2x II

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Expert Answer

Step 1

Since tan x = 1/2 

and tan x=opposite/adjacent 

Let opposite = -1 [because of third quadrant]

adjacent = -2 [because of third quadrant]

So hypotenuse = sqrt(5)

 

- 2.
c= -1)+(-2)
c=V1+4
c=5
- \
5
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- 2. c= -1)+(-2) c=V1+4 c=5 - \ 5

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Step 2

sin x = opposite / hypotenuse 

cos x= adjacent / hypotenuse

-2
-1
sin X=
-\
-2
5
cOS X=
V5
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-2 -1 sin X= -\ -2 5 cOS X= V5

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Step 3

We use multiple angle formula. ...

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