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GrogVix [38]
3 years ago
7

What is the exact value for cos(-2

n="absmiddle" class="latex-formula">/3)?
This should be done without a calculator.
Please explain the process if possible.

Mathematics
1 answer:
RSB [31]3 years ago
5 0
Notice the picture below

see where that angle is?

check your Unit Circle for that value

also notice, that fractions of \pi are just like grabbing 180 degrees and splitting it, so one third of 180 or \pi is 180/3 or 60 degrees

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Step-by-step explanation:

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Which system of equations is equivalent to this system?
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Answer:

Step-by-step explanation:

Which system of equations is equivalent to this system?

6x  + 4y = 126x  + 4y = 12

  3x + y = 8   3x + y = 8

−4x  + 4y = 48-4x  + 4y = 48

    3x + y = 8     3x + y =8

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If f and t are both even functions, is the product ft even? If f and t are both odd functions, is ft odd? What if f is even and
Natali5045456 [20]

Answer:

(a) If f and t are both even functions, product ft is even.

(b) If f and t are both odd functions, product ft is even.

(c) If f is even and t is odd, product ft is odd.

Step-by-step explanation:

Even function: A function g(x) is called an even function if

g(-x)=g(x)

Odd function: A function g(x) is called an odd function if

g(-x)=-g(x)

(a)

Let f and t are both even functions, then

f(-x)=f(x)

t(-x)=t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=f(x)t(x)

ft(-x)=ft(x)

The function ft is even function.

(b)

Let f and t are both odd functions, then

f(-x)=-f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[-f(x)][-t(x)]

ft(-x)=ft(x)

The function ft is even function.

(c)

Let f is even and t odd function, then

f(-x)=f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[f(x)][-t(x)]

ft(-x)=-ft(x)

The function ft is odd function.

7 0
3 years ago
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