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ehidna [41]
3 years ago
9

Find the value of x. ​

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
The figure is a right angle
Complementary = sum of 90 degrees
35 + 2x - 5 = 90
30 + 2x = 90
2x = 60
Solution: x = 30
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How to solve<br><br> 3sin^2x= cos^2x
DochEvi [55]

I'll try it.
I just went through this twice on scratch paper.  The first time was to
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You said                                                 <span><u>3sin²(x) = cos²(x)</u>

Use this trig identity:  sin²(x) = 1 - cos²(x)   

                                   Plug it into the original equation for (x).

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Remove parentheses on the left:    3 - 3cos²(x)  =  cos²(x)

Add  3cos²(x)  to each side:            3                  =  4cos²(x)

Divide each side by  4 :                  3/4  =  cos²(x)

Take the square root of each side:    <em>cos(x) = (√3) / 2</em> .

There it is ... the cosine of the unknown angle.
Now you just go look it up in a book with a table cosines,
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or else just remember that you've learned that

                           cos( <em><u>30°</u></em> )  =  </span><span><span>(√3) / 2 </span>.


</span>
7 0
3 years ago
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