Write a verbal expression to represent the given equation, X - 25 = 3

Mathematics

1 answer:

dexar [7]3 years ago

4 0

A number (X) minus 25 is equal to three.

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Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

Solve (x+1<5) n(x - 4 > -3).

vodka [1.7K]

Answer:

− 3/ x − 4 < x < 4

Step-by-step explanation:

4 0

3 years ago

Solve the system by graphing

Marta_Voda [28]

$\left\{\begin{array}{ccc}-2x=2y-4\\2x-y=-5\end{array}\right\\\\2y-4=-2x\ \ \ \ |+4\\2y=-2x+4\ \ \ \ |:2\\y=-x+2\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\for\ x=2\to y=-2+2=0\to(2,\ 0)\\\\2x-y=-5\ \ \ \ |-2x\\-y=-2x-5\ \ \ \ |\cdot(-1)\\y=2x+5\\for\ x=0\to y=2(0)+5=5\to(0,\ 5)\\for\ x=-2\to y=2(-2)+5=1\to(-2,\ 1)\\\\Answer:\ (-1,\ 3)\to\ x=-1,\ y=3$