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PA and PB are two tangents drawn from po...

PA and PB are two tangents drawn from point P to circle of radius 5 . A line is drawn from point P which cuts at C and D such that PC=5 and PD=15 and ` angleAPB= theta `.
On the basis of above information answer the questions .
Value of ` sin 2 theta + cos 4 theta + sin 5 theta + tan 7 theta + cot 8theta ` is equal to

A

`(4sqrt(3)-1)/(2)`

B

`(4sqrt(3)-1)/(2sqrt(3))`

C

`(4sqrt(3)+1)/(2sqrt(3))`

D

`(4sqrt(3)+1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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