Which of the following is equivalent to 2cos2(θ)−6csc2(θ)+2sin2(θ)+6cot2(θ)? a) −4 b) 8 c) 2tan(θ) d) 0 e) 6sec^2(θ) f) None of the above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Which of the following is equivalent to 2cos2(θ)−6csc2(θ)+2sin2(θ)+6cot2(θ)?

a) −4
b) 8
c) 2tan(θ)
d) 0
e) 6sec^2(θ)
f) None of the above.
 
Please provide the answer with an explanation. Thank you so much!
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