Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
The correct answer is 16/81. Hope this helps.
Answer:
10%
Step-by-step explanation:
firstly express as a fraction then multiply the fraction by 100% , that is
× 100% = 2 × 5 = 10% of the flowers are roses
Part A:
Let the width of the rectangle be = x inches
As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches
Perimeter is given as = 54 inches
Perimeter = 
Equation becomes:
=54

Part B:
Solving the equation we get




Hence, the width of the rectangle is 12 inches
Length = x+3 = 12+3 = 15 inches
Hence, length of the rectangle is 15 inches.
Answer:
i know do you speak ENGLISH
Step-by-step explanation:
First go to THE UNITED STATES