Question #63bfa

1 Answer
Bdub
Mar 2, 2017

see below

Explanation:

Use the following Properties

  1. Double Argument Property
    #cos 2theta=1-2sin^2theta#

  2. Reciprocal Property
    #sin theta = 1/csc theta#

  3. Pythagorean Property
    #1+cot^2theta=csc^2 theta#

Left Hand Side:

#1-cos 2 theta=1-[1-2sin^2theta]#

#=1-1+2sin^2theta#

#=cancel(1-1)+2sin^2theta#

#=2sin^2 theta#

#=2(1/csc^2 theta)#

#=2/csc^2 theta#

#=2/(1+cot^2 theta)#

#:.=# Right Hand Side

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