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givi [52]
2 years ago
12

Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work ana

lytically.
Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

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

so one solution is cos(x) = 0.

=> x = pi/2 and 3pi/2 (90° and 270°)

for cos(x) <> 0 we have then

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

=> x = pi/6 and 5pi/6 (30° and 150°)

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ahrayia [7]

Answer x=63

Step-by-step explanation:

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2 years ago
What is the slope of the line ? ( question 1/4 )
yanalaym [24]

\huge \rm༆ Answer ༄

First Consider two points ~ (0 , -3) and (-1 , 0)

Now, use the given formula to calculate slope :

  • \sf \dfrac{y2 - y1}{x2 - x1}

  • \sf \dfrac{0 - ( - 3)}{ - 1 - 0}

  • \sf \dfrac{ 0 + 3 }{ - 1}

  • \sf \dfrac{3}{ - 1}

  • \sf - 3

Therefore, the slope of the graph is -3

꧁  \:  \large \rm{TeeN \: ForeveR } \: ꧂

3 0
2 years ago
The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 30 gal of water and is filled at a co
kakasveta [241]
You first have to set up the two equations. Y is equal to the total number of gallons in a tank and x is equal to the number of hours the tanks are filling.

Since the two equations both equal y I can make them equal each other. I then solved for x as you see and got -4.

Once I found my x value I now needed to find my y. You only needed to chose one equation to solve for y, so I decided to do the first one. I plugged in -4 where my x value currently was and solved for y. I got 2.


If you have any questions please comment!! Hope this helps!!
3 0
3 years ago
An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di
Setler79 [48]
In 1, t<span>here are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, t</span><span>he probability of any individual outcome is 1/216 </span>

The outcomes that will add up to 6 are 
<span>1+1+4 </span>
<span>1+4+1 </span>
<span>4+1+1 </span>
<span>1+2+3 </span>
<span>1+3+2 </span>
<span>2+1+3 </span>
<span>2+3+1 </span>
<span>3+1+2 </span>
<span>3+2+1 </span>
<span>2+2+2 </span>

<span>Hence the probability is </span><span>10/216 </span>

In 3, the minimum sum of the three dice is 3. so we start with this 
<span>P(n = 3) </span>
<span>1+1+1 ; </span><span>1/216 </span>

<span>P(n = 4) </span>
<span>1+1+2 </span>
<span>1+2+1 </span>
<span>2+1+1 ; </span><span>3/216 </span>

<span>P(n = 5) </span>
<span>1+1+3 </span>
<span>1+3+1 </span>
<span>3+1+1 </span>
<span>1+2+2 </span>
<span>2+1+2 </span>
<span>2+2+1; </span><span>6/216 

The sum in 3 is 10/216 or 5/108</span>
3 0
3 years ago
What is the factorization of the trinomial below?
valkas [14]
B is the correct answer. hope this helped:)
6 0
2 years ago
Read 2 more answers
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