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Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+...

Let `P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2)`. Then, which of the following is (are) correct ?

A

a) The value of `P(18^(@))+P(72^(@))` is 2.

B

b) The value of `P(18^(@))+P(72^(@))` is 3.

C

c) The value of `P((4pi)/(3))+P((7pi)/(6))` is 3.

D

d) The value of `P((4pi)/(3))+P((7pi)/(6))` is 2.

Text Solution

Verified by Experts

The correct Answer is:
B, C
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