Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x = 
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified
Second question:
sum of all the interior angle 180*(8-2)=1080 degree
sum of one interior angle 1080/8=135 degree
The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.
This sequence, therefore, diverges to infinity
Answer:
Step-by-step explanation:
The domain of a function is all of the values that 
can be under that specific function. In this case, we're asking what values of allow 
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to 
, because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for :
Solving this inequality, we get:
(Subtract 
from both sides of the inequality to isolate )
(Multiply both sides of the inequality by 
to get rid of 's coefficient)
Hope this helps!
2.5 2 cup servings of flour are used. For every serving of flour, there are 2/3 cups of sugar. So, we need to use 2.5 servings of sugar, too. (2/3)*2.5= 5/3, or 1.6666.... cups of sugar.
