Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>

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cos (theta) = </span>

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tan (theta) = </span>

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<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>

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<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>

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Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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Answer:
y incpy would be 1/5
Step-by-step explanation:
Answer:
15p + 3
Step-by-step explanation:
Multiply 3 by each number in the parentheses and keep the variable
Step-by-step explanation:
<h2>13. </h2>

<h2>14.</h2>

<h2>15.</h2>
![\implies\sf{ {x}^{3} = 216 } \\ \\ \implies\sf{ x = \sqrt[3]{216} } \\ \\ \implies\sf{ x = 6 }](https://tex.z-dn.net/?f=%20%20%5Cimplies%5Csf%7B%20%7Bx%7D%5E%7B3%7D%20%3D%20216%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%5Csf%7B%20x%20%3D%20%20%20%5Csqrt%5B3%5D%7B216%7D%20%20%7D%20%20%20%5C%5C%20%20%5C%5C%20%5Cimplies%5Csf%7B%20x%20%3D%20%206%20%7D%20%20)