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3 years ago

14

Hi can someone please help me? If sin2A=cos 3A find the value of A. Can you please explain in full detail how you arrived at you

r answer? Also Find the exact value of (sec30)^2. Will I need to use a calculator in order to solve this prob?

1 answer:

cupoosta [38]3 years ago

6 0

<span>Sin (x) = Cos (90 - x)</span>
<span>sin(2A) = cos (90 - 2A)
=cos (3A)
90 - 2A = 3A
5A=90
A=18</span>

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3 years ago

Read 2 more answers

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.

andriy [413]

The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is $\dfrac{x^6-x}{4y}$ .

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

$\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}$

$\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}$

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For more details follow the link:

brainly.com/question/11897796

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2 years ago

What are the ordered pairs of the

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Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

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which then must factor into

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And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

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2 years ago

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Answer:

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3 years ago