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If x=2cotθx = 2 \cot \theta , Use Trigonometric Substitution to Write

Question 3

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If x=2cotθx = 2 \cot \theta , use trigonometric substitution to write 4+x2\sqrt { 4 + x ^ { 2 } } as a trigonometric function of θ\theta , where 0<θ<π0 < \theta < \pi .


A) 2cosθ2 \cos \theta
B) 2cscθ2 \csc \theta
C) 2cotθ2 \cot \theta
D) 2secθ2 \sec \theta
E) 2sinθ2 \sin \theta

Correct Answer:

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