Answer:
=
+ 
Step-by-step explanation:
To verify the identity:
sinx/1-cosx = cscx + cotx
we will follow the steps below;
We will take just the left-hand side and work it out to see if it is equal to the right-hand side
sinx/1-cosx
Multiply the numerator and denominator by 1 + cosx
That is;
= 
open the parenthesis on the right-hand side of the equation at the numerator and the denominator
sinx(1+cosx) = sinx + sinx cosx
(1-cosx)(1+cosx) = 1 - cos²x
Hence
= 
But 1- cos²x = sin²x
Hence we will replace 1- cos²x by sin²x
=
=
= 
=
+ 
=
+ 
=
+ 
=
+ 
Note that;
=
= 
Answer:
120 degrees! (line) or 300.
Step-by-step explanation:
All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.
If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.
The surface area is 47.1 sq in.
Step-by-step explanation:
Given,
The height (h) of the coin (cylinder shaped) = 5 inches
The radius (r) = 1.5 inches
To find the surface area of the coin.
We need to find the lateral surface area of the coin.
Formula
The surface area of the coin of radius r and height h is 2πrh.
Now,
Putting the value of h and r and π=3.14 we get,
Area = 2×3.14×1.5×5 sq inches
= 47.1 sq in
Hence, the surface area is 47.1 sq in.