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3 years ago

Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.

1 answer:

5 0

We are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x * cos^2 x.
cos^2 x = 1 - sin^2 x.
sin^2 x = (1 - cos 2x) /2

the answer is cos ^ 3 x = cos x * (1 - (1 - cos 2x) /2 )

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What is the P(T,H,T,H) on 4 flips of a coin? i need help

Katen [24]

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H) P(T) P(H)

= 1/2 * 1/2 * 1/2 * 1/2

= 1/16

5 0

3 years ago

Find the sum. Express your answer in simplest form.

Marina86 [1]

Answer:

$\frac{10x^2+3}{y^2+4}$

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have $\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}$

==> remove parenthesis and apply signs

$\frac{x^2+5+4x^2-2}{y^2+4}$

==> simplify numerator by combining like terms

$\frac{10x^2+3}{y^2+4}$

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0

2 years ago

Read 2 more answers

Which of the following expressions are equivalent to -8-(-1)-5

Mrac [35]

-8-(-1)-5

-8+1-5

-7-5

-13

3 0

3 years ago

The value of the digit in the hundreds place in the number 587,349 is 1/10 the value of the digit in the thousands place in whic

Musya8 [376]

Answer:

3000 is your answer

Step-by-step explanation:

The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then

$300 = \frac{1}{10} x$

$300 \times 10 = \frac{1}{10} x \times 10$

$3000 = x$

x is your answer.

3 0

3 years ago

Solve 5x3/4 as a mixed number, plz

lana [24]

Multiply straight across
5/1 * 3/4 = 15/4
now change it into a mixed number
3 3/4

4 0

3 years ago