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lozanna [386]
3 years ago
6

Solve : cos X + sin X = 0 Pls all answers in radians thanks

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
<span>cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

<em>tan(x) = -1</em>

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians
</span>
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21in.
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3 years ago
The product of (3 + 2i) and a complex number is (17 + 7i).
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A+bi is a complex number

(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
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if Ac+Be=dc+fe where c=c and e=e then A=d and B=f

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expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so

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we need to solve
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multiply by -1 and add to other equation

3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10

subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2


the complex number is
10-(13/2)i or
10-6.5i
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