First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
Answer:

Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees

assume

substitute

Answer:
I would go with the first one.
Step-by-step explanation:
The first one is the only one that increases by the same number. In other words, its slope is constant. A linear function has a constant slope. You can tell that it increases by 1/2 every time.
Answer:
x = 24
Step-by-step explanation:
ABCD is a parallelogram.
Angle B and Angle C are adjacent (successive) angles.
Adjacent angles of a parallelogram are supplementary.
Therefore,

Answer:
70 x 12 1/2 = 875.
Step-by-step explanation:
Step 1.) When you multiply fractions, you put whole numbers over one.
Step 2.) Then, you change whole numbers with fractions, to improper fractions.
Step 1.)
70/1 x 12 1/2
Step 2.)
70/1 x 25 / 2.
And then we solve!
70 x 25 = 1750
1 x 2 = 2.
1750 divided by 2 = 875.
Hope this helps!!
*This is the Right Way of doing these problems*