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3 years ago

Equation with angle addition can someone answer please

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Answer:

m<ABC = 20.2 (approximately)

Hope this helps :)

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Use the number line below to calculate 1/2x4/6:

Eddi Din [679]

Answer:

Step-by-step explanation:

4 0

2 years ago

Can anyone explain those marked steps in case (iii)

Tema [17]

$\cos\dfrac{3x}2=\cos\left(\dfrac\pi2+\dfrac x2\right)$
$\implies \dfrac{3x}2=2n\pi+\dfrac\pi2+\dfrac x2$

follows from the fact that the cosine function is $2\pi$ -periodic, which means $\cos x=\cos(2\pi+x)$ . Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add $2\pi$ to the original point's angle with respect to the horizontal axis).

If you make another complete revolution (so we're effectively adding $4\pi$ ) we get the same result: $\cos x=\cos(4\pi+x)$ . This is true for any number of complete revolutions, so that this pattern holds for any even multiple of $\pi$ added to the argument. Therefore $\cos x=\cos(2n\pi+x)$ for any integer $n$ .

Next, because $\cos(-x)=\cos x$ , it follows that $\cos x=\cos(2n\pi-x)$ is also true for any integer $n$ . So we have

$\implies \dfrac{3x}2=2n\pi\pm\left(\dfrac\pi2+\dfrac x2\right)$

The rest follows from considering either case and solving for $x$ .

5 0

2 years ago

1. The numbers ______ and _____ are respectively the additive and multiplicative identities of rational numbers

miss Akunina [59]

Answer: 0 and 1, in that order

The numbers <u> 0 </u> and <u> 1 </u> are respectively the additive and multiplicative identities of rational numbers.

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Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

8 0

2 years ago

Which ordered pairs lie on the graph of the exponential function f (x) = 3(0.2)^x

photoshop1234 [79]

The ordered pairs which lie on the graph of the exponential function, f(x) = 3(0.2)^x is; Choice A; (0, 3).

<h3>Ordered pair Solution;</h3>

The given exponential function is;

f (x) = 3(0.2)^x

By testing all values; Only the pair; (0, 3) is a solution to the graph of the exponential given.

By testing;

f (0) = 3(0.2)⁰.

Where, (0.2)⁰ = 1 (from indices).

f(0) = 3 × 1 = 3.