23-03-2019
Mathematics

contestada

Solve:
sin5x - cos2x + sin x = 0.

Respuesta :

Аноним Аноним

23-03-2019

Answer:

x = 10 , 45 degrees.

Step-by-step explanation:

This seems a tricky one .

I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2

so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes

2 sin 3x cos 2x - cos 2x = 0

cos 2x ( 2 sin 3x - 1) = 0

so 2 sin 3x = 1

sin 3x = 1/2

giving 3x = 30 degrees and x = 10 degrees

or cos 2x = 0

so 2x = 90

giving x = 45 degrees.

Answer Link

Otras preguntas

Usage rate refers to Multiple Choice the maximum number of times a customer has used a product or service historically. the profits a firm earns from customers

in art what is tint

Methanol, ethanol, and n−propanol are three common alcohols. When 1.00 g of each of these alcohols is burned in air, heat is liberated as indicated. Calculate t

ability to dissolve in water

Indica el pronombre del objeto indirecto y la forma del tiempo presente adecuados en cada oración. La primera oración de cada columna se da como ejemplo. First

On December 12, year 1, Imp Co. entered into three forward exchange contracts, each to purchase 100,000 euros in ninety days. The relevant exchange rates are as

Tulip Co. owns 100% of Daisy Co.'s outstanding common stock. Tulip's cost of goods sold for the year totals $600,000 and Daisy's cost of goods sold totals $400,

(Inflation and interest rates) You're considering an investment that you expect will produce a return of 8 percent next year, and you expect that your real

Which of the following did Gothic architecture reflect about the late Middle Ages? Waves of invasion had made civil society unstable. Monarchs had begun

A Scientist is comparing the outer layer of an onion cell to the outer layer of a human skin cell what is unique about the outer layer of the onion cell compare