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Mumz [18]
3 years ago
11

Find sin x if cos x= 2/3 and x is in quadrant 4

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0
Yes you'll use the half angle identities to solve...it sounds like you understand how to use them just not which sign to use.

This is actually pretty easy. All you have to do is know what quadrant your angle is in and that will determine the sign.

Quadrant1 = all trig functions are positive
Quadrant2 = sine is positive and cosine and tangent are negative
Quadrant3 = tangent is positive and sine and cosine are negative
Quadrant4 = cosine is positive and sine and tangent are negative

since your original angle is in quadrant 4 then the half angle will be in Quadrant 2

so the sine of the half angle is positive and the cosine of the half angle is negative
dangina [55]3 years ago
7 0
The sine is negative in quadrant 4

adjacent side = 2 and hypotenuse = 3 so opposite side will be -sqrt 5

so sin x = - sqrt5/ 3
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Can someone please help me with this logarithm equation!!
enot [183]

Answer:

\frac{629}{2}

Step-by-step explanation:

So, our equation is:

log_5(\frac{2x-4}{5})  = 3

In exponetial form, this looks like:

5^3=\frac{2x-4}{5}

Now lets cube the 5:

125=\frac{2x-4}{5}

Next, we can multiply the denominator on the right side by 5:

625=2x-4

We need to now get x alone by adding 4 to both sides:

629=2x

Finally, we divide by x's coefficent, 2, to get:

x=\frac{629}{2}

Hope this helps! :3

6 0
2 years ago
A face of a solid is
nalin [4]

Answer:

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by faces is a polyhedron. (OR) A face is a 2D shape that makes up one surface of a 3D shape, an edge is where two faces meet and a vertex is the point or corner of a geometric shape.

Step-by-step explanation:

3 0
3 years ago
At work, Elon takes a break 1/5​​ of each hour he works. He also takes a lunch break for 1/2​​ of an hour each day he works. Elo
Anton [14]

Answer:

h=50\ hours

Step-by-step explanation:

Let

h -----> the number of hours, Elon works during one 5​-day work week

we know that

12\frac{1}{2}\ h=\frac{12*2+1}{2}=\frac{25}{2}\ h

Elon’s break time must be equal to 1/2​​ of an hour multiplied by 5 days plus  1/5​​ multiplied by the total hours h

so

\frac{25}{2}=5(\frac{1}{2})+\frac{1}{5}h

Solve for h

Multiply by 10 both sides to remove the fraction

125=25+2h

2h=125-25

2h=100

h=50\ hours

8 0
3 years ago
9x^2+16=0 what are the solutions
seraphim [82]
X=4i/3,-4i/3

Need 20 characters
8 0
3 years ago
An angle measures 47.2° less than the measure of its supplementary angle. What is the measure of each angle? on ixl
SVEN [57.7K]

Answer:

The measure of one angle is 113.6^o, and the measure of the other one is 66.4^o

Step-by-step explanation:

Recall that supplementary angles are those whose addition renders 180^o

We need to find the measure of two such angles whose difference is precisely 47.2^o.

Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

x+y=180^o\\x-y=47.2^o

We can now solve this by simply combining term by term both equations, thus  cancelling the term in "y", and solving first for "x":

x+y=180^o\\x-y=47.2^o\\\\2x=180^o+47.2^o\\2x=227.2^o\\x=113.6^o

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

y=180^o-x\\y=180^o-113.6^o\\y=66.4^o

5 0
3 years ago
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