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olga nikolaevna [1]
3 years ago
9

If sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
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Hey There!

Here is your answer:

<u>The proper answer to this question is "1/4".</u>

Reason:

What you have to do is subtract 3/4 from 1/2 in order to get your answer:

<u>3*1=3</u>
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<u>-</u>
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<u>3-2=1</u>

<u>=1/4</u>

Also....

<u>In order to make 1/2 of the recipe Wanda would have to use 1/4 cups of butter. </u>

<u>(Hence): Have of 3/4 is 1/4.</u>

Therefore the answer is 1/4

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit


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