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schepotkina [342]
3 years ago
6

Given that cos 26 degrees= 0.899, write the sine of a complementary angle

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Complementary = angle+other angle = 90 degrees

90-26(given)=64
There is only one complimentary angle to any other angle, so 64 is the only other one. Sin(64)=.899

Sin(64)=cos(26)
This is because cosine and sine are actually THE SAME. Cosine exists because there's sine. Cosine is sine moved over on a graph a bit. The sine of any angle, plus 90degrees (or pi/2) is equal to the cosine of that angle

Cos(x)=sin(x+90) <--degrees
Cos(x)=sin(x+pi/2) <-- radians(from unit circle)

Unit circle has 90 degrees at pi/2 which is why that works. Using a graphing calculator in degrees, you'd use the first equation I gave to prove that they're equal, and in radian mode, you'd use the second one. Cosine is Co in front of sine. Co meaning complimentary, which is why the problem equals each other when solved
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What is the measure of an angle that is it’s own complement ?
ValentinkaMS [17]

A complement is angle that can be added to another to equal 90 degrees.

So two times the same number would equal 90.

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The angle that is its own complement is 45 degrees.

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BARSIC [14]

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

                  6y = x - 12

                    y = 1/6(x) - 2

Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

                -4 = -6(4) + b

                 b = -4 + 6(4)

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So the equation for the perpendicular line is y = -6x + 20

3 0
3 years ago
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Step-by-step explanation:

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width = (x - 7) units

Area = 2( length × width)

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3 0
3 years ago
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f(x) =  -  \frac{1}{4}x +  \frac{19}{4}   \\

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6 0
2 years ago
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Ulleksa [173]

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