Question
Asked Nov 4, 2019
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Find the exact value of the expression using the provided information.

Find tan(s + t) given that sin s =1/4 , with s in quadrant II, and  sin t=-1/2 with t in quadrant IV

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Expert Answer

Step 1

sin s= 1/4 = opposite / hypotenuse. Let opposite=1 and hypotenuse = 4. Adjacent = x

s is in quadrant 2. There x is negative. 

x=-sqrt(15)

X=-42-12
x 16-1
X
X=-15
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X=-42-12 x 16-1 X X=-15

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Step 2

tan s= -1/sqrt(15)

opposite
1
tan s
-15
adjacent
-T5
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opposite 1 tan s -15 adjacent -T5

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Step 3

sin t= -  1/2 = opposite / hypotenuse. Let opposite= - 1 and hypotenuse = 2. Adj...

x= 22-(-1)
X=4-1
22
X=3
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x= 22-(-1) X=4-1 22 X=3

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