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

1 answer:

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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Answer:

Equation: $Height = \frac{75}{Area}$

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

$Volume = 75\ in^3$

Required

Determine the Height

Volume is calculated as thus;

$Volume = Area * Height$

Substitute 75 for Volume

$75= Area * Height$

Divide through by Area

$Height = \frac{75}{Area}$

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

$Height = \frac{75}{5 * 5}$

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3 years ago

What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?

netineya [11]

See the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part

the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30°------> 150°

convert to radian
pi radians---------> 180°
x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians

the answer is
0.83*pi radians or 2.62 radians