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andrezito [222]
3 years ago
8

Solve for theta sin θ/2 − cos θ = 0

Mathematics
1 answer:
amm18123 years ago
4 0
The answer is on symbolab.com

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Translate 6 units left and 7 units down​
fredd [130]
A (-5,0) B (0,-2) C (-3,-4)
7 0
3 years ago
Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
The description for a certain brand of house paint claims a coverage of 460 ft2/gal. (a) express this quantity in square meters
Angelina_Jolie [31]

Given 460 ft^2/gal

a) convert it into m^2/l

=> It means ft^2 -> m^2 and gal -> l

1 ft = 0.3048 m

1 ft^2 = 0.092903 m^2

1 gal = 3.78541 l

460ft^2= [tex]460\frac{ft^2}{gal} = \frac{42.7354m^2}{3.78541l} = 11.2895m^2/l m^2[/tex].

b.  11.2895\frac{m^{2} }{l} *1000\frac{l}{m^3} =11289.5 m^{-1}

c.Given=  460\frac{ft^2}{gal}

To find inverse, divide it by 1.

Inverse- \frac{1}{460} \frac{gal}{ft^2}




6 0
3 years ago
Select the correct location in the expression.
kogti [31]

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

\frac{4x^4-6x^3+6x+3}{x-3}

The quotient of this expression is given by

4x^3+6x^2+18x+78+\frac{183}{x-3}

We have to find the term in this expression  which contains an error.

\frac{4x^4-6x^3+6x+3}{x-3}

The quotient of this expression is given by

=4x^3+6x^2+18x+60

Dividend=Divisor\times quotient+ remainder

Using the formula

4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

4 0
2 years ago
Ir J() =<br> E and 9(1) = 2+3-<br> -s find f0-8
Ivan

Answer:

2456.8

Step-by-step explanation:

J=×

9×1=2+3'5

f=2456.8

7 0
3 years ago
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