Question 821855: Let cos x = (-1/5), with x in quadrant 2. Find each of the following. Show steps.
1. Sin x
2. Tan x
3. Cot x
Let tan x = (-3/7), with x in quadrant 4. Find each of the following. Show steps.
1. Sin x
2. Cos x
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Let cos x = (-1/5), with x in quadrant 2. Find each of the following. Show steps.
1. Sin x
2. Tan x
3. Cot x
Let tan x = (-3/7), with x in quadrant 4. Find each of the following. Show steps.
1. Sin x
2. Cos x
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cosx=(-1/5)
Reference angle in quadrant II where cos<0, sin>0, tan<0
sinx=√(1-cos^2x)=√(1-(1/25)=√(24/25)=√24/5
..
sinx=24/5
tanx=sin/cos=√24/-1=-√24
cotx=1/tanx=-1/√24=-√24/24
..
tanx=(-3/7)
Reference angle in quadrant IV where cos>0, sin<0, tan<0
hypotenuse of reference right triangle in quadrant IV=√(3^2+7^2)=√(9+49)=√58
..
sinx=-3/√58=-3√58/58
cosx=7/√58=7√58/58
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