Aneeka Hunt
2021-08-04
Answered

Using Sum-to-Product Formulas Solve the equation by first using a Sum-to-Product Formula.

$\mathrm{cos}5\theta -\mathrm{cos}7\theta =0\mathrm{cos}5\theta -\mathrm{cos}7\theta =0$

You can still ask an expert for help

cyhuddwyr9

Answered 2021-08-05
Author has **90** answers

Approach:

The range of the trigonometric functions of

Simplify the equation.

Obtain the factors of the equation.

The sum-to-product formulas for cosine is,

Cosine function has period

Calculation:

Consider the equation.

Use Sum-to-Product formulas in the above equation,

Use the zero product property,

Consider equation (1).

Taking sine inverse both sides,

The solution of the equation is obtained by adding in the integer multiples of

Consider equation (2).

Taking

asked 2021-08-11

A ball is tossed upward from the ground. Its height in feet above ground after t seconds is given by the function $h\left(t\right)=-16{t}^{2}+24t$ . Find the maximum height of the ball and the number of seconds it took for the ball to reach the maximum height.

asked 2021-08-11

According to one source, the amount of data passing through mobile phone networks doubles each year.

Explain why the amount of data passing through mobile phone networks is an exponential function of time. The amount of data grows by a factor of_________________ each year, this is an exponential function because the amount is growing by _____________________ multiples.

Use$D}_{o$ for the initial amount of data and find a formula that gives the data D as an exponential function of the time t in years.

If this trend continues, how long will it be before the amount of data is 100 times its initial value? Round to three decimal places.

Explain why the amount of data passing through mobile phone networks is an exponential function of time. The amount of data grows by a factor of_________________ each year, this is an exponential function because the amount is growing by _____________________ multiples.

Use

If this trend continues, how long will it be before the amount of data is 100 times its initial value? Round to three decimal places.

asked 2021-03-05

A number consist of two digits whose product is 8 . If the digits are interchanged, the resulting number will exceed the original one by 18 . Find the number.

asked 2021-10-11

A club has 25 members. a) How many ways are there to choose four members of the club to serve on an executive committee? b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?

asked 2021-08-03

Perform the indicated operation and simplify the result. Leave your answer in factored form.

$\left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]$

asked 2022-02-01

Which is the ' factorization of 86?

asked 2022-02-02

What are ' numbers?