SOLUTION: Prove that csc2x = 1/2 secx cscx. Link to the composition of the equation: https://gyazo.com/05c5d58ea55bc85789fd1ca209aa471c

Algebra ->  Functions -> SOLUTION: Prove that csc2x = 1/2 secx cscx. Link to the composition of the equation: https://gyazo.com/05c5d58ea55bc85789fd1ca209aa471c      Log On


   

Question 1205298: Prove that csc2x = 1/2 secx cscx.
Link to the composition of the equation: https://gyazo.com/05c5d58ea55bc85789fd1ca209aa471c
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

csc%282x+%29=+%281%2F2%29+sec%28x%29csc%28x%29
manipulate left side
csc%282x+%29=
use identity csc%282x+%29=1%2Fsin%282x%29
use identity sin%282x%29=2cos%28x%29%2Asin%28x%29

than we have
csc%282x+%29=1%2F%282cos%28x%29+sin%28x%29%29
csc%282x+%29=%281%2F2%29%281%2F%28cos%28x%29+%2Asin%28x%29%29%29
csc%282x+%29=%281%2F2%29%281%2Fcos%28x%29%29%281%2F+sin%28x%29%29

use identities %281%2Fcos%28x%29%29=sec%28x%29 and %281%2F+sin%28x%29%29=csc%28x%29

csc%282x+%29=%281%2F2%29%28sec%28x%29%29%28csc%28x%29%29