3 years ago

Find all solutions in the interval [0,2π) of the equation.

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

Step-by-step explanation:

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

<=> sinx( 2cosx -1) + ( 2cosx -1) =0

<=> (sinx +1) + ( 2cosx-1)=0

<=> sinx=-1 or cosx= 1/2

+) sinx=1 => x= pi/2 + k×2pi

+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi

x€ [0,2pi] => x= pi/2, pi/3.

You might be interested in

the reporter asked 12 people in the company why they liked working for their boss and found 8 people of the said it was beacuse

spin [16.1K]

Whats your question?

6 0

4 years ago

A survey of students at a particular college showed that 33% of them prefer the American Heritage Dictionary (as opposed to Webs

vladimir1956 [14]

Answer:

.066 = 6.6 percent chance

Step-by-step explanation:

1 in 5 chance to get 6, so that is .20 multiply .20 and .33 and you get .066

8 0

3 years ago

The lesser of two consecutive even integers is 10 more than one-half the greater.

sleet_krkn [62]

Even integers are in form 2n where n is a whole number
consecutive even integers are 2 apart
2n and 2n+2
2n is 10 more than 1/2 of (2n+2)
2n=10+1/2(2n+2)
2n=10+n+1
2n=11+n
minus n both sides
n=11

2n=22
2n+2=24

the numbers are 22 and 24

8 0

3 years ago

rosy has 16 pencils and 24 erasers. she is putting together packets that will have an equal number of pencils and erasers in eac

faust18 [17]

Answer:48

Step-by-step explanation: you were indirectly asked for the L.C. M of 16 and 24

4 0

4 years ago

The normal cost of a basketball is $21.50. We purchased the basketball for Mason using a coupon for 25% off. How much did we pay

PilotLPTM [1.2K]

First find 25% of 21.5. You can do this by multiplying .25 by 21.5. That gives you 5.375. Subtract that from 21.5. That gives you 16.125. Money only has two decimal places so round 16.125 up to 16.13 and that's your answer! <3

4 0

3 years ago