Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If $\sin 6y = \cos 9y$ , then $y$ is equal to $\newline$ ( $1$ ) $1.5$ $\newline$ ( $2$ ) $36$ $\newline$ ( $3$ ) $6$ $\newline$ ( $4$ ) $54$

View step-by-step help

View step-by-step help

Estimate products of fractions and whole numbers

Full solution

Q. If

\sin 6y = \cos 9y

, then

y

is equal to

\newline

(

1

)

1.5

\newline

(

2

)

36

\newline

(

3

)

6

\newline

(

4

)

54

Set up equation: We know that the sine and cosine functions are co-functions, meaning that $\sin(\theta) = \cos(90° - \theta)$ for angles measured in degrees. Therefore, we can set up the equation $\sin(6y) = \cos(9y)$ as $\sin(6y) = \cos(90° - 6y)$ .
Equate angles: Now we can equate the angles inside the sine and cosine functions: $6y = 90° - 9y$ .
Add and solve: To solve for $y$ , we add $9y$ to both sides of the equation: $6y + 9y = 90°$ .
Combine terms: Combining like terms, we get $15y = 90^\circ$ .
Divide and solve: Now we divide both sides by $15$ to solve for $y$ : $y = \frac{90°}{15}$ .
Calculate final value: Calculating the division, we find $y = 6^\circ$ .

More problems from Estimate products of fractions and whole numbers

Question

1/6

of the dogs seen in the park were on leashes. On Wednesday,

3/7

of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?

\newline

\newline

\newline

Posted 2 months ago

Question

Perry Repertory Theater Company sold out

\frac{1}{10}

of the performances it held. Hancock Shakespeare Company sold out

\frac{5}{7}

of the performances it put on. Which theater company sold out a greater fraction of its performances?

\newline

A)Perry Repertory Theater Company

\newline

B)Hancock Shakespeare Company

Posted 2 months ago

Question

\frac{3}{5}

of the flights at Logan County Airport were delayed. At Cass County Airport,

\frac{2}{9}

of the flights were delayed. Which airport had a higher fraction of delayed flights?

\newline

A)Logan County Airport

\newline

B)Cass County Airport

\newline

Posted 2 months ago

Question

Last month, Baldwin finished

\frac{3}{7}

of his to-do list items, while Jason completed

\frac{7}{9}

of his to-do list items. Who finished a greater fraction of his to-do list last month?

\newline

\newline

Posted 2 months ago

Question

What is the quotient of

3.515 \times 10^{8}

4.75 \times 10^{5}

expressed in scientific notation?

\newline

\square \times 10^{\square}

Posted 2 months ago

Question

What is the quotient of

1.501 \times 10^{7}

3.95 \times 10^{4}

expressed in scientific notation?

\newline

\square \times 10^{\square}

Posted 2 months ago

Question

What is the quotient of

6.096 \times 10^{9}

6.35 \times 10^{5}

expressed in scientific notation?

\newline

\square \times 10^{\square}

Posted 2 months ago

Question

x

\newline

3x+5=2(x-4)

Posted 2 months ago

Question

Solve for the variable.

\newline

x+12=14

Posted 2 months ago

Question

As a fraction in simplest terms, what would you multiply the first number by to get the second?

\newline

6

33

\newline

6 \cdot \square=33

Posted 2 months ago