Find sin⁡(2x), cos⁡(2x), and tan⁡(2x) for the given situation: csc⁡x=4,0

Question

Find sin⁡(2x), cos⁡(2x), and tan⁡(2x) for the given situation: 	csc⁡x=4,0<x< π/2

LEV K. · Accepted Answer

csc=4sin=1/4cos=sqrt(1-sin^2)=sqrt(15)/4sin2x=2sin*cos=2*1/4*sqrt(15)/4cos2x=cos^2 - sin^2= 15/16-1/16tan2x = sin2x/cos2x

Mark M. · Answer

Convert csc x = 4 to sin xUse Pythagoras to determine cos xUse itentities to determine tan xUse double angle formulas for requested.

Find sin⁡(2x), cos⁡(2x), and tan⁡(2x) for the given situation: csc⁡x=4,0<x< π/2