Answer:
The answer to your question is below
Step-by-step explanation:
csc α - cot α = 
Work with the left part

Simplify

Multiply by the reciprocal
Simplify

Remember that
sin²α = 1 -cos²α
Substitute the previous equation

Simplify
The identity i proved.
Answer:
range = bigger number-smaller number
biggest number=166
smallest number=111
166-111
=55
False... a ratio equivalent to 2:5 is 4:10
2/5 × 2/2 = 4/10
To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.
2x+x=3x. The new equation is:
3x-1/2=3
Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5
The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
x=1 1/6
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =

Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches