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How do you simplify #f(theta)=csc2theta-cos4theta-3cot2theta# to trigonometric functions of a unit #theta#?

1 Answer

Jan 10, 2016

f(x) = (1) + (2) + (3)

Explanation:

#csc 2x = 1/(sin 2x) = 1/(2sin x.cos x)# (1)

#-cos 4x = -(1 - 2sin^2 2x) = -(1 - sqrt2sin 2x)(1 + sqrt2sin 2x) =#
#= -(1 - 2sqrt2sin x.cos x)(1 + 2sqrt2sin x.cos x) # (2)

#-3cot 2x = - 3/(tan 2x) = - (3(1 - tan^2 x))/(2tan x) # (3)

Ans: f(x) = (1) + (2 ) + (3)

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