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Mnenie [13.5K]
3 years ago
9

Simplify (1 − cos x)(1 + cos x). 1 cos2 x sin2 x tan2 x

Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
Answer

The expression is equivalent to sin^{2}x

The first step is to multiply the two expressions between parentheses :
(II)
There is a trigonometric identity that states :

Working with this expression :
⇒
(I)
Using the equation (I) in (II) :
⇒


Read more on Brainly.com - brainly.com/question/3907632#readmore
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Simplify the expression below.<br> 5x² (3x + 2)
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Step-by-step explanation:

5x^2(3x+2)

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The simplified expression is <em>15x³ + 10x²</em>

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The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter
CaHeK987 [17]
X - a leg  (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
(x+1)^2=x^2+(x-6)^2

Use:(a\pm b)^2=a^2\pm2ab+b^2

x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}

x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}

The perimeter:

7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}
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