Use the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Now rewrite
sin(2<em>x</em>) sin(<em>x</em>) + cos(<em>x</em>) = 0
as
2 sin²(<em>x</em>) cos(<em>x</em>) + cos(<em>x</em>) = 0
Factor out cos(<em>x</em>) :
cos(<em>x</em>) (2 sin²(<em>x</em>) + 1) = 0
Consider the two cases,
cos(<em>x</em>) = 0 OR 2 sin²(<em>x</em>) + 1 = 0
Solve for cos(<em>x</em>) and sin²(<em>x</em>) :
cos(<em>x</em>) = 0 OR sin²(<em>x</em>) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(<em>x</em>) = 0
Cosine is zero for odd multiples of <em>π</em>/2, so we have
<em>x</em> = (2<em>n</em> + 1) <em>π</em>/2
where <em>n</em> is any integer.
Answer:
can you please post the pyramid
Step-by-step explanation:
Answer:
<u><em>Mabye just explain it to us</em></u>
<span>The side of one square is 2 cm longer than the side of a second square.
If the combined area of the squares is 100 square cm, find the dimensions
of each square.
:
The area of the two squares
x^2 + (x+2)^2 = 100
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x + 4 - 100 = 0
2x^2 + 4x - 96 = 0
Simplify, divide by 2
x^2 + 2x - 48 = 0
Factors to
(x+8)(x-6) = 0
the positive solution
x = 6
:
6 by 6 the small square
8 by 8 the large square
;
:
Check: 36 + 64 = 100 Does this make sense to you?</span>
Let's solve your equation step-by-step.<span><span><span><span><span><span><span>(4+5</span>+8</span>+p</span>+7</span>+6)/</span>6</span>=6</span>Step 1: Multiply both sides by 6.<span><span><span><span><span><span><span>(4+5</span>+8</span>+p</span>+7</span>+6)/</span>6</span>=6</span><span><span><span>(<span><span><span><span><span><span>4+5</span>+8</span>+p</span>+7</span>+6)/(</span>6</span>)</span>*<span>(6)</span></span>=<span><span>(6)</span>*<span>(6)</span></span></span><span><span><span><span><span><span>4+5</span>+8</span>+p</span>+7</span>+6</span>=36</span>Step 2: Simplify both sides of the equation.<span><span>p+30</span>=36</span>Step 3: Subtract 30 from both sides.<span><span><span>p+30</span>−30</span>=<span>36−30</span></span><span>p=6</span>Answer:<span>p=<span>6</span></span>