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Vlada [557]
3 years ago
6

Solve on the interval [0,2pi): 2 sin^2 x-3 sin x + 1 = 0

Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

How do you solve #2sin^2x+3sinx+1=0# and find all solutions in the interval #[0,2pi)#?

Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations

Answer:

Explanation:

We may identify this as a quadratic equation in #sinx# and factorise it as a trinomial to obtain the solutions as

<h3>#(2sinx+1)(sinx+1)=0#</h3>

<h3>#thereforesinx=-1/2 or sinx=-1#</h3>

<h3>#therefore x= (7pi)/6 or (11pi)/6 or (3pi)/2#</h3>

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A cylindrical test tube holds 6π cm of liquid when filled to the 6cm mark what is the diameter of the test tube to the nearest h
DanielleElmas [232]

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume of liquid held=  6π cm^3

Height= 6cm

Required

The diameter d of the tube

let us apply the expression for the volume of cylinder

V=πr^2h

6π=πr^2*6

6=r^2*6

r^2= 6/6

r^2=1

r= √1

r=1cm

Hence the diameter d = 2r= 2*1= 2cm

6 0
3 years ago
A dot plot titled Runs Scored per game going from 3 to 8. 3 has 4 dots, 4 has 5 dots, 5 has 6 dots, 6 has 2 dots, 7 has 0 dots,
Kipish [7]

Answer:

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Step-by-step explanation:

4 0
2 years ago
A - c = d - r, for a
Sedaia [141]

Answer:

a  = d+c - r

Step-by-step explanation:

a - c = d - r

Add c to each side

a - c+c = d - r+c

a  = d+c - r

7 0
3 years ago
Which equation represents this sentence?
SOVA2 [1]

Answer:

n + 6 = 3n

Step-by-step explanation:

n + 6 = 3n

6 = 3n -n

6 = 2n

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6 0
3 years ago
The temperature in Quebec City was 5 degrees Celsius at 4 pm. By midnight, the temperature dropped 15 degrees.
velikii [3]

Answer:

Step-by-step explanation.

Its Point A because if You go back 15 its A,And I got it Right.

3 0
3 years ago
Read 2 more answers
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