Answer:

Step-by-step explanation:
For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.
and 
Recall the following reciprocal identity:

So, the original expression can be written in terms of only sines and cosines:





Working toward one of the answers provided, this is the tangent function.
The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to
.
yes i agree because if all the integers are positive, the answer stays positive which means if you know your integer rules: a positive divide by a positive it stays positive. its the same thing for all the other operations. hope this helps.
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

Putting it altogether:

So the area of our trapezoid is 44.
You need to divide it in 2 and solve separately
Answer:
Step-by-step explanation:
A)Total number of students at the school= Number of classes * number of students in each class
= 8 * 21
= 168 students.
B) Number of teams=Total students÷ Number of students in each team
= 168/12
= 14
There will be 14 teams