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2 years ago

What would a proper answer be to this question

Mathematics

1 answer:

Musya8 [376]2 years ago

5 0

I cant help you there m8 the I'm not able to see the problem I'm sorry.

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Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

2 years ago

What is the value of Y????

yawa3891 [41]

Answer: The value of y=9.

6 0

2 years ago

Find the slope of the line that passes through the points (0, 6) and (20, 14).

mihalych1998 [28]

Answer:

2/5

Step-by-step explanation:

4 0

2 years ago

How many times will the wheel of a car rotate in a journey of 88 km.

Pani-rosa [81]

Answer:

88000

Step-by-step explanation:

88 multiple by 1000

3 0

3 years ago

Who can help me with this question problem

german

Answer:

use the formula and evaluate the givens

Step-by-step explanation:

336=(14/11)^2 * 22/7*h

336=196/121 * 22/7h

336= 4312/847h

336= 5.09h

h=66

8 0

2 years ago