FIITJEE AITS trig question

find the value of \sqrt{3}(sec55+cosec55) + sec55 - cosec55

surprisingly ,the answer consists of only 1 term(irrational)

5 Answers

11
Mani Pal Singh ·

OPTIONS TO DE DO
:P

1
Vivek ·

(A)2√2
(B)6√2
(C)4√2
(D)5√2

1
The Race begins... ·

(1/sin55.cos55).(√3sin55 - cos55 + √3cos55 + sin55)

= (2/sin55.cos55).[(cos30.sin55 - sin30.cos55) + (cos30.cos55 + sin30.sin55)]

= (4/sin110).[(cos25 + sin25]

= (4√2/cos20).[sin45.cos25+cos45.sin25]

= (4√2/cos20).[sin70]

= (4√2/cos20).cos20

= 4√2.

correct me if i am wrong !

1
The Race begins... ·

confirmation please.!

33
Abhishek Priyam ·

Correct :)

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